3167117116713 has 48 divisors (see below), whose sum is σ = 5121669870720. Its totient is φ = 1869667833600.

The previous prime is 3167117116693. The next prime is 3167117116721. The reversal of 3167117116713 is 3176117117613.

3167117116713 is a `hidden beast` number, since 316 + 7 + 1 + 171 + 167 + 1 + 3 = 666.

It is not a de Polignac number, because 3167117116713 - 2²⁸ = 3166848681257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3167117116753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1923828 + ... + 3167861.

It is an arithmetic number, because the mean of its divisors is an integer number (106701455640).

Almost surely, 2^{3167117116713} is an apocalyptic number.

3167117116713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3167117116713 is a deficient number, since it is larger than the sum of its proper divisors (1954552754007).

3167117116713 is a wasteful number, since it uses less digits than its factorization.

3167117116713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091870 (or 5091867 counting only the distinct ones).

The product of its digits is 111132, while the sum is 45.

The spelling of 3167117116713 in words is "three trillion, one hundred sixty-seven billion, one hundred seventeen million, one hundred sixteen thousand, seven hundred thirteen".