31342322324313 has 768 divisors, whose sum is σ = 66312865382400. Its totient is φ = 13746723840000.

The previous prime is 31342322324303. The next prime is 31342322324317.

31342322324313 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 2 + 322 + 324 + 3 + 1 + 3 = 666.

31342322324313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31342322324313 - 2⁴ = 31342322324297 is a prime.

It is a super-2 number, since 2×31342322324313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31342322324317) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 61576271503 + ... + 61576272011.

It is an arithmetic number, because the mean of its divisors is an integer number (86344876800).

Almost surely, 2^{31342322324313} is an apocalyptic number.

31342322324313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31342322324313 is an abundant number, since it is smaller than the sum of its proper divisors (34970543058087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31342322324313 is a wasteful number, since it uses less digits than its factorization.

31342322324313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 3134232 and 2324313, that added together give a palindrome (5458545).

The spelling of 31342322324313 in words is "thirty-one trillion, three hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, three hundred thirteen".