I am cheating, I have stolen a Hindu definition of human intelligence, and adjusted it to define universal intelligence.
"Biological potential to process information that can be activated in the universe to create products that are of value to the universe."
For example different organisms learn and retain information essential to their survival and reproduction. This is so of the wasp or of a human genius. Computers store information, and so do the layers of earth. Everything is subject to order from the atom to a human genius. Is not order an expression of intellignece?