3116788876113 has 48 divisors (see below), whose sum is σ = 4769682720768. Its totient is φ = 1805611852000.

The previous prime is 3116788876099. The next prime is 3116788876127.

3116788876113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3116788876099) and next prime (3116788876127).

It is not a de Polignac number, because 3116788876113 - 2¹⁰ = 3116788875089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3116788876163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12289438 + ... + 12540488.

It is an arithmetic number, because the mean of its divisors is an integer number (99368390016).

Almost surely, 2^{3116788876113} is an apocalyptic number.

3116788876113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3116788876113 is a deficient number, since it is larger than the sum of its proper divisors (1652893844655).

3116788876113 is a wasteful number, since it uses less digits than its factorization.

3116788876113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252586 (or 252575 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The spelling of 3116788876113 in words is "three trillion, one hundred sixteen billion, seven hundred eighty-eight million, eight hundred seventy-six thousand, one hundred thirteen".