diff --git a/trac/util/presentation.py b/trac/util/presentation.py
index 196a6c2b00..c438130977 100644
--- a/trac/util/presentation.py
+++ b/trac/util/presentation.py
@@ -50,7 +50,7 @@ def jinja2_update(jenv):
         groupattr=groupattr_filter,
         htmlattr=htmlattr_filter,
         max=max_filter,
-        mix=min_filter,
+        min=min_filter,
         trim=trim_filter,
     )
     jenv.tests.update(
@@ -138,15 +138,11 @@ def htmlattr_filter(_eval_ctx, d, autospace=True):
 
 def max_filter(seq, default=None):
     """Returns the max value from the sequence."""
-    if len(seq):
-        return max(seq)
-    return default
+    return max(seq, default=default)
 
 def min_filter(seq, default=None):
     """Returns the min value from the sequence."""
-    if len(seq):
-        return min(seq)
-    return default
+    return min(seq, default=default)
 
 
 def trim_filter(value, what=None):
diff --git a/trac/web/tests/chrome.py b/trac/web/tests/chrome.py
index 4c43092b9c..82eeb676c0 100644
--- a/trac/web/tests/chrome.py
+++ b/trac/web/tests/chrome.py
@@ -1269,6 +1269,23 @@ def test(domain=None):
         test(domain=None)
         test(domain='messages')
 
+    def test_filters_max_min(self):
+        template = textwrap.dedent("""\
+            ${names|map('capitalize')|max(default='(max)')}
+            ${names|map('capitalize')|min(default='(min)')}
+            ${names|reject('string')|max(default='(max)')}
+            ${names|reject('string')|min(default='(min)')}
+        """)
+        filename = 'ticket13773.html'
+        create_file(os.path.join(self.env.templates_dir, filename), template)
+
+        req = MockRequest(self.env)
+        data = {'names': ['alpha', 'beta', 'gamma']}
+        content = self.chrome.render_template(req, filename, data,
+                                              {'iterable': False})
+        self.assertEqual(['Gamma', 'Alpha', '(max)', '(min)'],
+                         str(content, 'utf-8').splitlines())
+
 
 def test_suite():
     suite = unittest.TestSuite()