Swapping SIM

Swapping SIM

I have a Nexus 5x with 16Gb of memory. I'm getting a slightly used Nexus 5x with 32Gb of memory. Can I simply take the SIM card out of my 16Gb Nexus and put it in the new one and have it work with the same phone number?

Then I would do a factory reset and restore my back up from Google. Question: will the SIM card carry the OS information so that the reset puts me on Android 7.1.1 beta or not?

I'm obviously not clear on what I'm doing.