Wait, does that mean it's making a mating call to you.
We let our missy go through 3 heats before finally taking her to be "fixed", and yes, you as a male, even if different species, are potential mate for the princess of the universe.
Countless times when I was playing or working on the computer, our missy would first come and head butt me few times, purr a little and then go between me & my monitor, raise her tail and behind up and start ... hmm, "meowing" doesn't just fit this sound really and look over her shoulders to me looking like "I'm here, why aren't you taking me already?!"
This obviously stopped after we got her "fixed".
As for petting the belly, it all depends on the cat, and even more so, about each person trying to do so. I, as a humble servant of overlords of the universe, can pet all the cats I know from the belly after meeting 'em just few times. It's the ultimate sign of trust when kitty let's you do that. Then again, the next cat I meet might tear my wrists open if I try to do it, so fingers crossed
This one is better
https://www.youtube.com/watch?v=VSpFRcTeUQ4
Here's couple videos from when our princess was still a little kitty
https://www.youtube.com/watch?v=cnqqoRgaIa0 (fight against my foot)
https://www.youtube.com/watch?v=lRNsN19tpFI (problem solving)
And little older
https://www.youtube.com/watch?v=W-UJOa13Buc (bumblebee stalk)
https://www.facebook.com/video.php?v=10151571108190734&set=vb.735735733&type=3&theater (Easter-stuff is omnom)
edit:
I knew this would happen, now I start posting pics too, can't resist! (Excuse the mess in the pictures)