31321322312313 has 16 divisors (see below), whose sum is σ = 45559417818816. Its totient is φ = 18982148408640.

The previous prime is 31321322312303. The next prime is 31321322312387.

31321322312313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31321322312313 - 2⁴ = 31321322312297 is a prime.

It is a super-2 number, since 2×31321322312313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31321322312303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10427406 + ... + 13090967.

It is an arithmetic number, because the mean of its divisors is an integer number (2847463613676).

Almost surely, 2^{31321322312313} is an apocalyptic number.

31321322312313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31321322312313 is a deficient number, since it is larger than the sum of its proper divisors (14238095506503).

31321322312313 is a wasteful number, since it uses less digits than its factorization.

31321322312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23558744.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 3132132 and 2312313, that added together give a palindrome (5444445).

The spelling of 31321322312313 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, three hundred thirteen".