I think the reason for unreadability is security.
If I know my session ID is dado_today,
I can fake yours by creating a cookie in my machine as yourname_today.
guessing a random number is quite hard.
But if that's not a problem for you, or if you have other ways of enforcing security (which is always good), try using session_name(string name).
I'm not sure if you have to use it in every page before using start_session().
Did I get your question right?
disclaimer: I'm a newbie 🙂