Cheating boyfriend

I broke up with my ex boyfriend a month ago after I went through his phone and found out he was cheating on me in the duration of our relationship with other women. After the break up, I blocked him on everything; Snapchat, Instagram, WhatsApp etc. - so he had no way of contacting me and I could move on with my life.. however I ended up unblocking him on WhatsApp a couple days after the break up and he sent me a message saying he’s sorry and wants me back blah blah blah. Of course I was heart broken -still am, but I did miss him so I responded to the message telling him how he ruined our relationship and we would never get back together because not only did he cheat, he humiliated me and broke me as a person. Fast forward to last night (New Years eve) I got super drunk, called him and 20 mins later found myself in an Uber heading to his place. When I got there he was also drunk and we had the best.. I mean the BEST sex we’ve ever had. I woke up in the morning regretting what I had done. I didn’t want him thinking he gets a pass for cheating and that him and I will get back together. We were just vulnerable and under the influence of alcohol. I still have feelings for him and want us to be together but my womanly worth won’t let me do so. I hate cheaters and never want to enable one. I also don’t want to get back with him because I told all my friends and family what he did and they obviously aren’t fond of him. I don’t want to be that girl that gets back with her cheating ex boyfriend but I love this man. I’m torn and don’t know what to do. HELP!! What are your thoughts?