31102133120113 has 32 divisors (see below), whose sum is σ = 34227242668800. Its totient is φ = 28027982361600.

The previous prime is 31102133120111. The next prime is 31102133120141.

31102133120113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31102133120113 - 2¹ = 31102133120111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31102133120111) 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, 536742220 + ... + 536800162.

It is an arithmetic number, because the mean of its divisors is an integer number (1069601333400).

Almost surely, 2^{31102133120113} is an apocalyptic number.

It is an amenable number.

31102133120113 is a deficient number, since it is larger than the sum of its proper divisors (3125109548687).

31102133120113 is a wasteful number, since it uses less digits than its factorization.

31102133120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59113.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 3110213 and 3120113, that added together give a palindrome (6230326).

The spelling of 31102133120113 in words is "thirty-one trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred thirteen".