Diplodenia (related to a Mandavilla) I believe.

19 greenhouses of succulents and cacti, definitely worth it. It's just over an hour for me and its been on my list of things to do for a while. Prices are good, these 3"pots were $2 each. You check in at the office and give you a map and they let you just wander around.

It does look like Anacampseros...they can look so very different depending on growing conditions. Have a look at -this thread- and you'll see how different they look. Light, temps, watering - all will make difference.

I'm not an expert so anyone else feel free to correct me. Usually purchased succulents need to be repotted with a faster draining potting mix. Most often recommended here is commercial cactus/succulent mix combined 50/50 with perlite or (preferably) pumice if available. The pumice or perlite should be rinsed in a screen to wash out tiniest particles. Probably the pot it is in is a good size unless it is root bound. Then you could size up but only to a pot with hole in the bottom. Remove as much of the peaty mix from the roots, you can even rinse it off. Don't water for a day or so after repotting. Best not to double pot as you purchased it. Single pot allows more air circulation around the pot and less humid conditions. It's a nice plant. You will enjoy it for a long time. I'm not sure of the light requirements, but probably good bright light at the least, maybe some direct sun.