As described, you have an iPad mini2.
The first generation iPad Air, iPad mini2 and mini3 can only be updated to iOS 12.5.7.
Apple ended major update support for these models of iPad in September 2019 - although they continue to receive occasional “point” security updates, the most recent being released January 2023. These devices cannot be updated to iPadOS 13 (or any later major versions of iPadOS) as the internal hardware does not meet the minimum technical requirements (CPU capabilities and available RAM) for newer versions of iOS/iPadOS.
Some App developers have dropped support for iOS versions preceding iOS 13.x for technical reasons (often because APIs or software libraries upon which they rely have been updated in the new version of iPadOS, making their App incompatible with earlier versions).
You perhaps need to understand that all computers, regardless of manufacturer, eventually reach a point where they lack sufficient capability or system resources to be able to run more modern versions of its Operating System. App Developers, who need to make a living, eventually stop supporting obsolete hardware - and move on to more recent devices and versions of the host OS. Older OS versions no longer benefit from essential security updates; as bad actors find increasingly devious methods to compromise older unsupported devices and software, these older devices become increasingly unsafe to use - in particular for accessing and processing financial and personally sensitive information.
Whilst many App titles remain compatible with your iPad, if you want or need to access to Apps requiring the most recent versions of iOS, you’ll need to consider replacement of your iPad with a newer or current model that supports iPadOS16.
Of current models, even the entry-level iPad9 has specifications and capabilities that will massively outperform your current iPad, fully supports iPadOS16 - and is compatible with the vast majority of current Apps. Other models are more powerful still.
Whether or not you are able to update any iPad to a newer version of iOS/iPadOS is dictated by the iPad model and the currently installed version of iOS. You can find this information here:
Settings > General > About
For information, here is a list of the highest version of iOS supported by the older models of iPad (for simplicity - “generations” are shortened to a number) that are restricted in their ability to be updated:
32-bit devices (obsolete system architecture)
iPad1 - iOS 5.1.1
iPad2, iPad3 and iPad mini1 - iOS 9.3.5 (WiFi Only models), iOS 9.3.6 (WiFi & Cellular)
iPad4 - iOS 10.3.3 (WiFi Only), iOS 10.3.4 (WiFi & Cellular)
64-bit devices
iPad Air1, iPad mini2 and iPad mini3 - iOS 12.5.7
iPad Air2, iPad mini4 - iPadOS 15.7.6
Newer models are all able to be updated to the current version, iPadOS 16.5
- iPad Pro (all models)
- iPad Air (3rd generation and later)
- iPad (5th generation and later)
- iPad mini (5th generation and later)
