100 billion stars, not million. So on the order of 100 stars per pixel, although obviously not evenly distributed.

(Edited to add) The individual stars you can see when you zoom all the way in are the very brightest stars, mostly blue (O/B class) or red (K/M class) giants. For each star you can see, there are hundreds of smaller stars that you can't make out individually but contribute to the general background glow.