Could be. Here is a link to what it is suppose to look like so you can compare:

Here is a link that might be useful: Parodia microsperma subsp. microsperma

I think yours is Notocactus uebelmannianus. The sheen on your blooms is more than I remember on mine. Pretty! I was going to say if it had crassigibba in the name, that would have a pale yellow bloom, but I'm finding conflicting info/names.

Notocactus and a few other species combined to form parodia a few years ago ... so the name is correct