As new SDK versions are released they quite often include changes to the manifest files (i.e. the information about the software and/or target) that IDE versions that were released before that new SDK cannot understand. This means you normally have to update your IDE version when updating your SDK version. However, any IDE version should be able to load an SDK that was released at the same time or before it.
You can see the requirements for IDE version under supported devices on the MCUXpresso IDE page:
It looks like you are trying to use IDE version 11.5.1 with SDK 2.13, but SDK 2.13 needs version 11.7.x of the IDE, so you will need to update.
If you installed your SDK by building it with the SDK builder then you should uninstall the old SDK (delete it) before trying to install a newer version. If you installed it directly using the IDE then it should be updated by the IDE; however - once you have updated the SDK like this you wont be able to use that SDK in the 11.5.x IDE anymore.