31321100112313 has 16 divisors (see below), whose sum is σ = 34742613958272. Its totient is φ = 27997426800000.

The previous prime is 31321100112299. The next prime is 31321100112389.

31321100112313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31321100112313 - 2²¹ = 31321098015161 is a prime.

It is a super-2 number, since 2×31321100112313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31321100152313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53467188 + ... + 54049813.

It is an arithmetic number, because the mean of its divisors is an integer number (2171413372392).

Almost surely, 2^{31321100112313} is an apocalyptic number.

It is an amenable number.

31321100112313 is a deficient number, since it is larger than the sum of its proper divisors (3421513845959).

31321100112313 is a wasteful number, since it uses less digits than its factorization.

31321100112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107517456.

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

It can be divided in two parts, 31321100 and 112313, that added together give a palindrome (31433413).

The spelling of 31321100112313 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred million, one hundred twelve thousand, three hundred thirteen".