31112111121113 has 32 divisors (see below), whose sum is σ = 34855055308800. Its totient is φ = 27531499206400.

The previous prime is 31112111121079. The next prime is 31112111121127.

31112111121113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31112111121113 - 2¹⁶ = 31112111055577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31112111120113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75404708 + ... + 75816186.

It is an arithmetic number, because the mean of its divisors is an integer number (1089220478400).

Almost surely, 2^{31112111121113} is an apocalyptic number.

It is an amenable number.

31112111121113 is a deficient number, since it is larger than the sum of its proper divisors (3742944187687).

31112111121113 is a wasteful number, since it uses less digits than its factorization.

31112111121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412693.

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 3111211 and 1121113, that added together give a palindrome (4232324).

The spelling of 31112111121113 in words is "thirty-one trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".