diff --git a/.github/workflows/ci-tests.yml b/.github/workflows/ci-tests.yml
index 72747ecb41..069ea7c980 100644
--- a/.github/workflows/ci-tests.yml
+++ b/.github/workflows/ci-tests.yml
@@ -35,18 +35,18 @@ jobs:
       fail-fast: false
       matrix:
         os: ["ubuntu-latest"]
-        python-version: ["3.12"]
+        python-version: ["3.13"]
         session: ["doctest", "gallery", "linkcheck"]
         include:
           - os: "ubuntu-latest"
-            python-version: "3.12"
+            python-version: "3.13"
             session: "tests"
             coverage: "--coverage"
           - os: "ubuntu-latest"
-            python-version: "3.11"
+            python-version: "3.12"
             session: "tests"
           - os: "ubuntu-latest"
-            python-version: "3.10"
+            python-version: "3.11"
             session: "tests"
 
     env:
diff --git a/.github/workflows/ci-wheels.yml b/.github/workflows/ci-wheels.yml
index 9c53673481..1bbb651dd5 100644
--- a/.github/workflows/ci-wheels.yml
+++ b/.github/workflows/ci-wheels.yml
@@ -52,7 +52,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["3.10", "3.11", "3.12"]
+        python-version: ["3.11", "3.12", "3.13"]
         session: ["wheel"]
     env:
       ENV_NAME: "ci-wheels"
diff --git a/benchmarks/bm_runner.py b/benchmarks/bm_runner.py
index f7204db25f..42761edc9c 100644
--- a/benchmarks/bm_runner.py
+++ b/benchmarks/bm_runner.py
@@ -66,7 +66,7 @@ def _check_requirements(package: str) -> None:
 
 def _prep_data_gen_env() -> None:
     """Create or access a separate, unchanging environment for generating test data."""
-    python_version = "3.12"
+    python_version = "3.13"
     data_gen_var = "DATA_GEN_PYTHON"
     if data_gen_var in environ:
         echo("Using existing data generation environment.")
diff --git a/docs/src/whatsnew/latest.rst b/docs/src/whatsnew/latest.rst
index 2b3c03084b..3eef612468 100644
--- a/docs/src/whatsnew/latest.rst
+++ b/docs/src/whatsnew/latest.rst
@@ -80,8 +80,8 @@ This document explains the changes made to Iris for this release
 🔗 Dependencies
 ===============
 
-#. N/A
-
+#. `@stephenworsley`_ dropped support for ``py310`` and adopted support for ``py313``
+   as per the `SPEC 0`_ schedule. (:pull:`6195`)
 
 📚 Documentation
 ================
@@ -125,3 +125,5 @@ This document explains the changes made to Iris for this release
 
 .. comment
     Whatsnew resources in alphabetical order:
+
+.. _SPEC 0: https://scientific-python.org/specs/spec-0000/
diff --git a/lib/iris/cube.py b/lib/iris/cube.py
index 4357c7b498..3c8a4ff030 100644
--- a/lib/iris/cube.py
+++ b/lib/iris/cube.py
@@ -173,7 +173,7 @@ def xml(self, checksum=False, order=True, byteorder=True):
 
         # return our newly created XML string
         doc = Cube._sort_xml_attrs(doc)
-        return doc.toprettyxml(indent="  ")
+        return iris.util._print_xml(doc)
 
     def extract(self, constraints):
         """Filter each of the cubes which can be filtered by the given constraints.
@@ -3782,7 +3782,7 @@ def xml(
 
         # Print our newly created XML
         doc = self._sort_xml_attrs(doc)
-        return doc.toprettyxml(indent="  ")
+        return iris.util._print_xml(doc)
 
     def _xml_element(self, doc, checksum=False, order=True, byteorder=True):
         cube_xml_element = doc.createElement("cube")
diff --git a/lib/iris/tests/__init__.py b/lib/iris/tests/__init__.py
index 142b26f725..d0437a8ddd 100644
--- a/lib/iris/tests/__init__.py
+++ b/lib/iris/tests/__init__.py
@@ -562,7 +562,7 @@ def assertXMLElement(self, obj, reference_filename):
         # this is to be compatible with stored test output where xml attrs are stored in alphabetical order,
         # (which was default behaviour in python <3.8, but changed to insert order in >3.8)
         doc = iris.cube.Cube._sort_xml_attrs(doc)
-        pretty_xml = doc.toprettyxml(indent="  ")
+        pretty_xml = iris.util._print_xml(doc)
         reference_path = self.get_result_path(reference_filename)
         self._check_same(pretty_xml, reference_path, type_comparison_name="XML")
 
diff --git a/lib/iris/tests/_shared_utils.py b/lib/iris/tests/_shared_utils.py
index 4b8d424c41..992f70d1e0 100644
--- a/lib/iris/tests/_shared_utils.py
+++ b/lib/iris/tests/_shared_utils.py
@@ -555,7 +555,7 @@ def assert_XML_element(obj, reference_filename):
     # this is to be compatible with stored test output where xml attrs are stored in alphabetical order,
     # (which was default behaviour in python <3.8, but changed to insert order in >3.8)
     doc = iris.cube.Cube._sort_xml_attrs(doc)
-    pretty_xml = doc.toprettyxml(indent="  ")
+    pretty_xml = iris.util._print_xml(doc)
     reference_path = get_result_path(reference_filename)
     _check_same(pretty_xml, reference_path, type_comparison_name="XML")
 
diff --git a/lib/iris/tests/test_coding_standards.py b/lib/iris/tests/test_coding_standards.py
index 2839dbb333..a718a10ec8 100644
--- a/lib/iris/tests/test_coding_standards.py
+++ b/lib/iris/tests/test_coding_standards.py
@@ -69,8 +69,8 @@ def test_python_versions():
     Test is designed to fail whenever Iris' supported Python versions are
     updated, insisting that versions are updated EVERYWHERE in-sync.
     """
-    latest_supported = "3.12"
-    all_supported = ["3.10", "3.11", latest_supported]
+    latest_supported = "3.13"
+    all_supported = ["3.11", "3.12", latest_supported]
 
     root_dir = Path(__file__).parents[3]
     workflows_dir = root_dir / ".github" / "workflows"
diff --git a/lib/iris/tests/test_util.py b/lib/iris/tests/test_util.py
index dabe90581c..0add7dec66 100644
--- a/lib/iris/tests/test_util.py
+++ b/lib/iris/tests/test_util.py
@@ -235,9 +235,9 @@ def test_output_file(self, tmp_path):
         test_cube_a.standard_name = "relative_humidity"
         test_cube_a.units = cf_units.Unit("m")
 
-        with tmp_path / "tmp" as filename:
-            with open(filename, "w") as f:
-                iris.util.describe_diff(test_cube_a, test_cube_b, output_file=f)
-                f.close()
+        filename = tmp_path / "tmp"
+        with open(filename, "w") as f:
+            iris.util.describe_diff(test_cube_a, test_cube_b, output_file=f)
+            f.close()
 
-            _shared_utils.assert_files_equal(filename, "incompatible_cubes.str.txt")
+        _shared_utils.assert_files_equal(filename, "incompatible_cubes.str.txt")
diff --git a/lib/iris/util.py b/lib/iris/util.py
index dfefb504e9..94cb077a2f 100644
--- a/lib/iris/util.py
+++ b/lib/iris/util.py
@@ -2320,3 +2320,26 @@ def equalise_cubes(
     # Return a CubeList result = the *original* cubes, as modified
     result = CubeList(cubes)
     return result
+
+
+def _print_xml(doc):
+    """Print xml in a standard fashion.
+
+    Modifies :meth: `xml.dom.minidom.Document.toprettyxml` to maintain backwards
+    compatibilitiy with the way Iris expects arrays to be represented. Changes to
+    xml introduced with https://github.com/python/cpython/pull/107947 mean that
+    newlines in attributes are escaped by default. This reverts to the old behaviour
+    by replacing the escaped newlines with proper newlines.
+
+    Parameters
+    ----------
+    doc : :class: `xml.dom.minidom.Document`
+        The xml document to be printed.
+
+    Returns
+    -------
+    str
+        Standard string representation of xml document.
+    """
+    result = doc.toprettyxml(indent="  ")
+    return result.replace("&#10;", "\n")
diff --git a/noxfile.py b/noxfile.py
index d74a964e94..3c692a3b9d 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -15,7 +15,7 @@
 nox.options.reuse_existing_virtualenvs = True
 
 #: Python versions we can run sessions under
-_PY_VERSIONS_ALL = ["3.10", "3.11", "3.12"]
+_PY_VERSIONS_ALL = ["3.11", "3.12", "3.13"]
 _PY_VERSION_LATEST = _PY_VERSIONS_ALL[-1]
 
 #: One specific python version for docs builds
diff --git a/pyproject.toml b/pyproject.toml
index b8d2c96359..3a2eef77f2 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -22,9 +22,9 @@ classifiers = [
     "Operating System :: Unix",
     "Programming Language :: Python",
     "Programming Language :: Python :: 3 :: Only",
-    "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Programming Language :: Python :: Implementation :: CPython",
     "Topic :: Scientific/Engineering",
     "Topic :: Scientific/Engineering :: Atmospheric Science",
@@ -50,7 +50,7 @@ keywords = [
 ]
 license = {text = "BSD-3-Clause"}
 name = "scitools-iris"
-requires-python = ">=3.10"
+requires-python = ">=3.11"
 
 [project.urls]
 Code = "https://github.com/SciTools/iris"
diff --git a/requirements/locks/py310-linux-64.lock b/requirements/locks/py313-linux-64.lock
similarity index 83%
rename from requirements/locks/py310-linux-64.lock
rename to requirements/locks/py313-linux-64.lock
index f26a8b54bb..1186ee240d 100644
--- a/requirements/locks/py310-linux-64.lock
+++ b/requirements/locks/py313-linux-64.lock
@@ -1,6 +1,6 @@
 # Generated by conda-lock.
 # platform: linux-64
-# input_hash: 1da357481d2aa24f523bbf22e71abbbe003a13f04d24d01ab4958bc0d30293b8
+# input_hash: 48461a23cfa997c433ea7b2ac3056ac0207a55d9e55d79f02e1662558ac7c5f0
 @EXPLICIT
 https://conda.anaconda.org/conda-forge/linux-64/_libgcc_mutex-0.1-conda_forge.tar.bz2#d7c89558ba9fa0495403155b64376d81
 https://conda.anaconda.org/conda-forge/linux-64/ca-certificates-2025.1.31-hbcca054_0.conda#19f3a56f68d2fd06c516076bff482c52
@@ -9,24 +9,27 @@ https://conda.anaconda.org/conda-forge/noarch/font-ttf-inconsolata-3.000-h77eed3
 https://conda.anaconda.org/conda-forge/noarch/font-ttf-source-code-pro-2.038-h77eed37_0.tar.bz2#4d59c254e01d9cde7957100457e2d5fb
 https://conda.anaconda.org/conda-forge/noarch/font-ttf-ubuntu-0.83-h77eed37_3.conda#49023d73832ef61042f6a237cb2687e7
 https://conda.anaconda.org/conda-forge/linux-64/hicolor-icon-theme-0.17-ha770c72_2.tar.bz2#bbf6f174dcd3254e19a2f5d2295ce808
-https://conda.anaconda.org/conda-forge/linux-64/python_abi-3.10-5_cp310.conda#2921c34715e74b3587b4cff4d36844f9
+https://conda.anaconda.org/conda-forge/linux-64/python_abi-3.13-5_cp313.conda#381bbd2a92c863f640a55b6ff3c35161
 https://conda.anaconda.org/conda-forge/noarch/tzdata-2025a-h78e105d_0.conda#dbcace4706afdfb7eb891f7b37d07c04
 https://conda.anaconda.org/conda-forge/linux-64/utfcpp-4.0.6-h005c6e1_0.conda#9464e297fa2bf08030c65a54342b48c3
 https://conda.anaconda.org/conda-forge/noarch/wayland-protocols-1.40-hd8ed1ab_0.conda#6cc41cdfd792cdca2e32dc0ace89b712
 https://conda.anaconda.org/conda-forge/noarch/fonts-conda-forge-1-0.tar.bz2#f766549260d6815b0c52253f1fb1bb29
 https://conda.anaconda.org/conda-forge/linux-64/ld_impl_linux-64-2.43-h712a8e2_2.conda#048b02e3962f066da18efe3a21b77672
 https://conda.anaconda.org/conda-forge/linux-64/libglvnd-1.7.0-ha4b6fd6_2.conda#434ca7e50e40f4918ab701e3facd59a0
-https://conda.anaconda.org/conda-forge/linux-64/libgomp-14.2.0-h77fa898_1.conda#cc3573974587f12dda90d96e3e55a702
-https://conda.anaconda.org/conda-forge/linux-64/_openmp_mutex-4.5-2_gnu.tar.bz2#73aaf86a425cc6e73fcf236a5a46396d
+https://conda.anaconda.org/conda-forge/linux-64/llvm-openmp-19.1.7-h024ca30_0.conda#9915f85a72472011550550623cce2d53
+https://conda.anaconda.org/conda-forge/linux-64/_openmp_mutex-4.5-2_kmp_llvm.tar.bz2#562b26ba2e19059551a811e72ab7f793
 https://conda.anaconda.org/conda-forge/noarch/fonts-conda-ecosystem-1-0.tar.bz2#fee5683a3f04bd15cbd8318b096a27ab
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 https://conda.anaconda.org/conda-forge/linux-64/libgcc-14.2.0-h77fa898_1.conda#3cb76c3f10d3bc7f1105b2fc9db984df
 https://conda.anaconda.org/conda-forge/linux-64/alsa-lib-1.2.13-hb9d3cd8_0.conda#ae1370588aa6a5157c34c73e9bbb36a0
 https://conda.anaconda.org/conda-forge/linux-64/c-ares-1.34.4-hb9d3cd8_0.conda#e2775acf57efd5af15b8e3d1d74d72d3
+https://conda.anaconda.org/conda-forge/linux-64/gettext-tools-0.23.1-h5888daf_0.conda#2f659535feef3cfb782f7053c8775a32
 https://conda.anaconda.org/conda-forge/linux-64/libbrotlicommon-1.1.0-hb9d3cd8_2.conda#41b599ed2b02abcfdd84302bff174b23
 https://conda.anaconda.org/conda-forge/linux-64/libdeflate-1.23-h4ddbbb0_0.conda#8dfae1d2e74767e9ce36d5fa0d8605db
 https://conda.anaconda.org/conda-forge/linux-64/libexpat-2.6.4-h5888daf_0.conda#db833e03127376d461e1e13e76f09b6c
+https://conda.anaconda.org/conda-forge/linux-64/libffi-3.4.6-h2dba641_0.conda#e3eb7806380bc8bcecba6d749ad5f026
 https://conda.anaconda.org/conda-forge/linux-64/libgcc-ng-14.2.0-h69a702a_1.conda#e39480b9ca41323497b05492a63bc35b
+https://conda.anaconda.org/conda-forge/linux-64/libgettextpo-0.23.1-h5888daf_0.conda#a09ce5decdef385bcce78c32809fa794
 https://conda.anaconda.org/conda-forge/linux-64/libgfortran5-14.2.0-hd5240d6_1.conda#9822b874ea29af082e5d36098d25427d
 https://conda.anaconda.org/conda-forge/linux-64/liblzma-5.6.4-hb9d3cd8_0.conda#42d5b6a0f30d3c10cd88cb8584fda1cb
 https://conda.anaconda.org/conda-forge/linux-64/libntlm-1.8-hb9d3cd8_0.conda#7c7927b404672409d9917d49bff5f2d6
@@ -34,7 +37,7 @@ https://conda.anaconda.org/conda-forge/linux-64/libstdcxx-14.2.0-hc0a3c3a_1.cond
 https://conda.anaconda.org/conda-forge/linux-64/libwebp-base-1.5.0-h851e524_0.conda#63f790534398730f59e1b899c3644d4a
 https://conda.anaconda.org/conda-forge/linux-64/libzlib-1.3.1-hb9d3cd8_2.conda#edb0dca6bc32e4f4789199455a1dbeb8
 https://conda.anaconda.org/conda-forge/linux-64/ncurses-6.5-h2d0b736_3.conda#47e340acb35de30501a76c7c799c41d7
-https://conda.anaconda.org/conda-forge/linux-64/openssl-3.4.0-h7b32b05_1.conda#4ce6875f75469b2757a65e10a5d05e31
+https://conda.anaconda.org/conda-forge/linux-64/openssl-3.4.1-h7b32b05_0.conda#41adf927e746dc75ecf0ef841c454e48
 https://conda.anaconda.org/conda-forge/linux-64/pthread-stubs-0.4-hb9d3cd8_1002.conda#b3c17d95b5a10c6e64a21fa17573e70e
 https://conda.anaconda.org/conda-forge/linux-64/xorg-libice-1.1.2-hb9d3cd8_0.conda#fb901ff28063514abb6046c9ec2c4a45
 https://conda.anaconda.org/conda-forge/linux-64/xorg-libxau-1.0.12-hb9d3cd8_0.conda#f6ebe2cb3f82ba6c057dde5d9debe4f7
@@ -42,27 +45,27 @@ https://conda.anaconda.org/conda-forge/linux-64/xorg-libxdmcp-1.1.5-hb9d3cd8_0.c
 https://conda.anaconda.org/conda-forge/linux-64/attr-2.5.1-h166bdaf_1.tar.bz2#d9c69a24ad678ffce24c6543a0176b00
 https://conda.anaconda.org/conda-forge/linux-64/bzip2-1.0.8-h4bc722e_7.conda#62ee74e96c5ebb0af99386de58cf9553
 https://conda.anaconda.org/conda-forge/linux-64/dav1d-1.2.1-hd590300_0.conda#418c6ca5929a611cbd69204907a83995
+https://conda.anaconda.org/conda-forge/linux-64/double-conversion-3.3.1-h5888daf_0.conda#bfd56492d8346d669010eccafe0ba058
 https://conda.anaconda.org/conda-forge/linux-64/epoxy-1.5.10-h166bdaf_1.tar.bz2#a089d06164afd2d511347d3f87214e0b
 https://conda.anaconda.org/conda-forge/linux-64/expat-2.6.4-h5888daf_0.conda#1d6afef758879ef5ee78127eb4cd2c4a
 https://conda.anaconda.org/conda-forge/linux-64/fribidi-1.0.10-h36c2ea0_0.tar.bz2#ac7bc6a654f8f41b352b38f4051135f8
 https://conda.anaconda.org/conda-forge/linux-64/geos-3.13.0-h5888daf_0.conda#40b4ab956c90390e407bb177f8a58bab
-https://conda.anaconda.org/conda-forge/linux-64/gettext-tools-0.22.5-he02047a_3.conda#fcd2016d1d299f654f81021e27496818
 https://conda.anaconda.org/conda-forge/linux-64/jsoncpp-1.9.6-hf42df4d_1.conda#7bdc5e2cc11cb0a0f795bdad9732b0f2
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 https://conda.anaconda.org/conda-forge/linux-64/lame-3.100-h166bdaf_1003.tar.bz2#a8832b479f93521a9e7b5b743803be51
-https://conda.anaconda.org/conda-forge/linux-64/level-zero-1.20.4-h84d6215_0.conda#bc9c9b49a021a2c5704af32e5c95f88e
+https://conda.anaconda.org/conda-forge/linux-64/level-zero-1.20.5-h84d6215_0.conda#8a524cc67b524a410d100d45d00bd4aa
 https://conda.anaconda.org/conda-forge/linux-64/libabseil-20240722.0-cxx17_hbbce691_4.conda#488f260ccda0afaf08acb286db439c2f
+https://conda.anaconda.org/conda-forge/linux-64/libasprintf-0.23.1-h8e693c7_0.conda#988f4937281a66ca19d1adb3b5e3f859
 https://conda.anaconda.org/conda-forge/linux-64/libbrotlidec-1.1.0-hb9d3cd8_2.conda#9566f0bd264fbd463002e759b8a82401
 https://conda.anaconda.org/conda-forge/linux-64/libbrotlienc-1.1.0-hb9d3cd8_2.conda#06f70867945ea6a84d35836af780f1de
 https://conda.anaconda.org/conda-forge/linux-64/libedit-3.1.20250104-pl5321h7949ede_0.conda#c277e0a4d549b03ac1e9d6cbbe3d017b
 https://conda.anaconda.org/conda-forge/linux-64/libev-4.33-hd590300_2.conda#172bf1cd1ff8629f2b1179945ed45055
-https://conda.anaconda.org/conda-forge/linux-64/libffi-3.4.2-h7f98852_5.tar.bz2#d645c6d2ac96843a2bfaccd2d62b3ac3
-https://conda.anaconda.org/conda-forge/linux-64/libgettextpo-0.22.5-he02047a_3.conda#efab66b82ec976930b96d62a976de8e7
+https://conda.anaconda.org/conda-forge/linux-64/libgettextpo-devel-0.23.1-h5888daf_0.conda#7a5d5c245a6807deab87558e9efd3ef0
 https://conda.anaconda.org/conda-forge/linux-64/libgfortran-14.2.0-h69a702a_1.conda#f1fd30127802683586f768875127a987
 https://conda.anaconda.org/conda-forge/linux-64/libgpg-error-1.51-hbd13f7d_1.conda#168cc19c031482f83b23c4eebbb94e26
 https://conda.anaconda.org/conda-forge/linux-64/libiconv-1.17-hd590300_2.conda#d66573916ffcf376178462f1b61c941e
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-https://conda.anaconda.org/conda-forge/linux-64/libnsl-2.0.1-hd590300_0.conda#30fd6e37fe21f86f4bd26d6ee73eeec7
+https://conda.anaconda.org/conda-forge/linux-64/libmpdec-4.0.0-h4bc722e_0.conda#aeb98fdeb2e8f25d43ef71fbacbeec80
 https://conda.anaconda.org/conda-forge/linux-64/libogg-1.3.5-h4ab18f5_0.conda#601bfb4b3c6f0b844443bb81a56651e0
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diff --git a/requirements/py310.yml b/requirements/py313.yml
similarity index 98%
rename from requirements/py310.yml
rename to requirements/py313.yml
index cbef5ce676..e389687693 100644
--- a/requirements/py310.yml
+++ b/requirements/py313.yml
@@ -4,7 +4,7 @@ channels:
   - conda-forge
 
 dependencies:
-  - python =3.10
+  - python =3.13
 
 # Setup dependencies.
   - setuptools >=64