31113000112113 has 6 divisors (see below), whose sum is σ = 44941000161954. Its totient is φ = 20742000074736.

The previous prime is 31113000112079. The next prime is 31113000112127. The reversal of 31113000112113 is 31121100031113.

31113000112113 is a `hidden beast` number, since 311 + 130 + 0 + 0 + 11 + 211 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30976537841649 + 136462270464 = 5565657^2 + 369408^2 .

It is not a de Polignac number, because 31113000112113 - 2²⁶ = 31112933003249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31113000112133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1728500006220 + ... + 1728500006237.

It is an arithmetic number, because the mean of its divisors is an integer number (7490166693659).

Almost surely, 2^{31113000112113} is an apocalyptic number.

It is an amenable number.

31113000112113 is a deficient number, since it is larger than the sum of its proper divisors (13828000049841).

31113000112113 is a wasteful number, since it uses less digits than its factorization.

31113000112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457000012463 (or 3457000012460 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31113000112113 its reverse (31121100031113), we get a palindrome (62234100143226).

The spelling of 31113000112113 in words is "thirty-one trillion, one hundred thirteen billion, one hundred twelve thousand, one hundred thirteen".