3111314131113 has 16 divisors (see below), whose sum is σ = 4154992954176. Its totient is φ = 2070923025600.

The previous prime is 3111314131087. The next prime is 3111314131187.

3111314131113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3111314131113 - 2¹⁸ = 3111313868969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3111314131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20031570 + ... + 20186292.

It is an arithmetic number, because the mean of its divisors is an integer number (259687059636).

Almost surely, 2^{3111314131113} is an apocalyptic number.

It is an amenable number.

3111314131113 is a deficient number, since it is larger than the sum of its proper divisors (1043678823063).

3111314131113 is a wasteful number, since it uses less digits than its factorization.

3111314131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165304.

The product of its digits is 324, while the sum is 24.

The spelling of 3111314131113 in words is "three trillion, one hundred eleven billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred thirteen".