Why can't iPhone 11 on iOS 13.0 upgrade to 13.2.2?
In my experience, when unable to update on the device itself due to an error, I use Apple Configurator 2 on macOS to install the update.

When Apple Configurator 2 is installed, the process is pretty simple:


Open Apple Configurator 2.
Plug your iPhone in via USB.
Unlock your iPhone. You may need to trust the computer if this is the first time you've connected to it.
Your iPhone will now show up in Apple Configurator 2.
Right-click your device and select Update...
Your computer will now check your iPhone to see if there are any app updates and iOS updates.
If there is a new version of iOS available, follow the prompts to install.


If this fails, there could be an issue with the update itself or your iPhone, which may warrant resetting the device.