Senior Kangaroo 2022 Q20

Each cell in this cross-number can be filled with a non-zero digit such that all of the conditions in the clues are satisfied. The digits used are not necessarily distinct. Determine $T$, the sum of all six answers to the clues. The answer to this question is $0.5 \times T$.

ACROSS:

• 1. Two less than a prime.
• 1. Exactly $100$ more than its largest proper factor.
• 1. A multiple of $13$.

DOWN:

• 1: A fourth power.
• 2: A cube.
• 4: Not prime, not square, not even.