More about the Hubble Ultra-Deep Field.

EDIT: jsdillon adds some caveats:

• Some of the dots in the HUDF are stars, though very few.  You can tell because they look like four pointed stars.  The four points are an optical effect due to the support struts of the secondary mirror.
• 1 trillion stars is very high for a galaxy.  Very, very few galaxies have that many.  10 billion is more typical.
• Though the light from the furthest of those galaxies took about 13 billion years to get to us, it doesn’t mean that those galaxies are 13 billion light years away.  In fact, due to the expansion of the universe, the object is now about 30 billion light years away from us.