31311123232113 has 8 divisors (see below), whose sum is σ = 46386849232800. Its totient is φ = 20874082154724.

The previous prime is 31311123232111. The next prime is 31311123232121. The reversal of 31311123232113 is 31123232111313.

31311123232113 is a `hidden beast` number, since 3 + 1 + 311 + 1 + 2 + 3 + 232 + 113 = 666.

It is not a de Polignac number, because 31311123232113 - 2¹ = 31311123232111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1159671230819 = 31311123232113 / (3 + 1 + 3 + 1 + 1 + 1 + 2 + 3 + 2 + 3 + 2 + 1 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (31311123232111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579835615383 + ... + 579835615436.

It is an arithmetic number, because the mean of its divisors is an integer number (5798356154100).

Almost surely, 2^{31311123232113} is an apocalyptic number.

It is an amenable number.

31311123232113 is a deficient number, since it is larger than the sum of its proper divisors (15075726000687).

31311123232113 is a wasteful number, since it uses less digits than its factorization.

31311123232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159671230828 (or 1159671230822 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 31311123232113 its reverse (31123232111313), we get a palindrome (62434355343426).

The spelling of 31311123232113 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred thirteen".