319

This number is a composite.

The smallest 3-digit brilliant number, (319 = 29 * 11), whose the prime factors, (29, 11), create another brilliant number, 2911=41*71, and also the prime factors create a third brilliant number, i.e., 4171 = 43 * 97. We can say that 319 is the only odd-digit "extra brilliant number." [Loungrides]