413 is a semiprime (a product of two primes), but (413 - 4)4 + (413 - 1)1 + (413 - 3)3 is prime with prime length, and contains a prime number of prime digits in its decimal expansion.
413 is a number n such that n and its reversal are both semiprimes: 314 = 2 x 157.
Inserting 9 between adjacent digits of 413 makes it a prime: 49193.
