31323000032313 has 32 divisors (see below), whose sum is σ = 45995594895360. Its totient is φ = 18802511520960.

The previous prime is 31323000032309. The next prime is 31323000032377.

31323000032313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31323000032313 - 2² = 31323000032309 is a prime.

It is a super-2 number, since 2×31323000032313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31323080032313) 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, 17090283 + ... + 18834111.

It is an arithmetic number, because the mean of its divisors is an integer number (1437362340480).

Almost surely, 2^{31323000032313} is an apocalyptic number.

31323000032313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31323000032313 is a deficient number, since it is larger than the sum of its proper divisors (14672594863047).

31323000032313 is a wasteful number, since it uses less digits than its factorization.

31323000032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749037.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 313230000 and 32313, that added together give a palindrome (313262313).

The spelling of 31323000032313 in words is "thirty-one trillion, three hundred twenty-three billion, thirty-two thousand, three hundred thirteen".