Why is my iPhone 13 mini unable to check for updates?

If my last suggestions don’t fix your issue try heading to your GENERAL setting scroll to bottom where you’ll see TRANSFER OR RESET IPHONE then select RESET NETWORK SETTINGS if you have a iPhone password or pin you’ll have to enter it then select RESET SETTINGS 2 more additional times your phone will then power off on its own then restart on its own as soon as the setting is reset once powered back up make sure you plug back into a charger device is at least 50 % charged and then you’ll have to get reconnected to your WiFi once again by going into settings and tapping on the actual word WIFI then on the next screen look for your WiFi network and select it then enter your password good luck ALSO ANOTHER VERY IMPORTANT STEP IS TO GO INTO YOUR SETTINGS HEAD OVER TO GENERAL THEN SCROLL DOWN TO VPN AND DEVICE MANAGEMENT TAP ON IT THEN TAP ON THE NEXT SCREEN WHERE IT MAY SAY SOMETHING ABOUT VPN NOT CONNECTING IF YOU HAVE A VPN THAT SHOWS YOU CAN REMOVE IT DO SO IF IT SAYS ADD VPN CONFIGURATION THEN YOUR GOOD

Try making sure your connected to a WiFi also on a charger and at least 50% charged all at the same time then retry goodluck

This might not be true and it might make you sad, but probably that’s the furthest update you can go to on this device.