I already know that they have levels, types, abilities, and moves. Do they have things like base stats or held items? Can a cheating device allow people to put them on a team and use them as Pokemon? Please don't question my curiosity.
I do not believe they have held items. They have base stats (as they take varying amounts of damage, last I checked), but the only way to check would be a third-party device. Currently, I am unaware if these have been calculated.