31321344312313 has 32 divisors (see below), whose sum is σ = 35546099097600. Its totient is φ = 27337245062400.

The previous prime is 31321344312281. The next prime is 31321344312319.

31321344312313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31321344312313 - 2⁵ = 31321344312281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31321344312319) 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 31 ways as a sum of consecutive naturals, for example, 665071995 + ... + 665119087.

It is an arithmetic number, because the mean of its divisors is an integer number (1110815596800).

Almost surely, 2^{31321344312313} is an apocalyptic number.

It is an amenable number.

31321344312313 is a deficient number, since it is larger than the sum of its proper divisors (4224754785287).

31321344312313 is a wasteful number, since it uses less digits than its factorization.

31321344312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58833.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3132134 and 4312313, that added together give a palindrome (7444447).

The spelling of 31321344312313 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, three hundred thirteen".