31321012313 has 8 divisors (see below), whose sum is σ = 33176144232. Its totient is φ = 29467293696.

The previous prime is 31321012297. The next prime is 31321012337.

31321012313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 25099431184 + 6221581129 = 158428^2 + 78877^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31321012313 - 2⁴ = 31321012297 is a prime.

It is a super-2 number, since 2×31321012313² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31321012363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307520 + ... + 396497.

It is an arithmetic number, because the mean of its divisors is an integer number (4147018029).

Almost surely, 2^31321012313 is an apocalyptic number.

It is an amenable number.

31321012313 is a deficient number, since it is larger than the sum of its proper divisors (1855131919).

31321012313 is a wasteful number, since it uses less digits than its factorization.

31321012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706651.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 313210 and 12313, that added together give a palindrome (325523).

The spelling of 31321012313 in words is "thirty-one billion, three hundred twenty-one million, twelve thousand, three hundred thirteen".