Natural weapons can be added to a full attack, so long as the weapons you make your iterative attacks with don't interfere with your natural weapons. If you made sword attacks, you couldn't make claw attacks since the claw is holding the sword. Since UASs don't take up a hand, and can be made with any part of your body, you can make BOTH!
Do note, thats only on a full attack. If you attack with a strike, you are attacking as a standard action, not making a full attack.
If you have a BAB of +11, and you DON'T have Multiattack, your routine will be: