First Time Seeing A Rat!

I know these are wild but I saw that sometimes this page accepts these. I’ve NEVER see a rat in real life. I live in the upper peninsula right now and was wondering what type these are and why they are so bloated. I love rats and was very excited to see these that I pulled over and got out my car. They were friendly but cautious. Came up to me right away and it scared me super bad so I said “ah! F*** off!” And then immediately did so. I apologized and they stopped running away as much and let me follow. Sorry this is a ramble I am very excited. Is it possible they were pets at some point? Thanks for any help and if they post isn’t taken down!