73113366331137 has 16 divisors (see below), whose sum is σ = 106360976348352. Its totient is φ = 44305188741120.

The previous prime is 73113366331121. The next prime is 73113366331151.

73113366331137 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73113366331137 - 2⁴ = 73113366331121 is a prime.

It is a super-3 number, since 3×73113366331137³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73113366331237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148309408 + ... + 148801569.

It is an arithmetic number, because the mean of its divisors is an integer number (6647561021772).

Almost surely, 2^{73113366331137} is an apocalyptic number.

It is an amenable number.

73113366331137 is a deficient number, since it is larger than the sum of its proper divisors (33247610017215).

73113366331137 is a wasteful number, since it uses less digits than its factorization.

73113366331137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297118448.

The product of its digits is 1285956, while the sum is 48.

The spelling of 73113366331137 in words is "seventy-three trillion, one hundred thirteen billion, three hundred sixty-six million, three hundred thirty-one thousand, one hundred thirty-seven".