31131122113113 has 32 divisors (see below), whose sum is σ = 46702943373312. Its totient is φ = 18283082904000.

The previous prime is 31131122113109. The next prime is 31131122113127.

31131122113113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31131122113113 - 2² = 31131122113109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31131122113103) 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, 99207931 + ... + 99521232.

It is an arithmetic number, because the mean of its divisors is an integer number (1459466980416).

Almost surely, 2^{31131122113113} is an apocalyptic number.

31131122113113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31131122113113 is a deficient number, since it is larger than the sum of its proper divisors (15571821260199).

31131122113113 is a wasteful number, since it uses less digits than its factorization.

31131122113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198729325.

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

It can be divided in two parts, 3113112 and 2113113, that added together give a palindrome (5226225).

The spelling of 31131122113113 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirteen".