313583424385313 has 16 divisors (see below), whose sum is σ = 324125727399936. Its totient is φ = 303202654132560.

The previous prime is 313583424385289. The next prime is 313583424385327.

313583424385313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313583424385313 - 2³² = 313579129418017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313583424385333) 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 15 ways as a sum of consecutive naturals, for example, 106571120 + ... + 109474062.

It is an arithmetic number, because the mean of its divisors is an integer number (20257857962496).

Almost surely, 2^{313583424385313} is an apocalyptic number.

It is an amenable number.

313583424385313 is a deficient number, since it is larger than the sum of its proper divisors (10542303014623).

313583424385313 is a wasteful number, since it uses less digits than its factorization.

313583424385313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930764.

The product of its digits is 37324800, while the sum is 56.

The spelling of 313583424385313 in words is "three hundred thirteen trillion, five hundred eighty-three billion, four hundred twenty-four million, three hundred eighty-five thousand, three hundred thirteen".