313333505333313 has 64 divisors (see below), whose sum is σ = 422565811200000. Its totient is φ = 206514852203520.

The previous prime is 313333505333281. The next prime is 313333505333347.

313333505333313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313333505333313 - 2⁵ = 313333505333281 is a prime.

It is a super-2 number, since 2×313333505333313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313333505333383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67398041413 + ... + 67398046061.

It is an arithmetic number, because the mean of its divisors is an integer number (6602590800000).

Almost surely, 2^{313333505333313} is an apocalyptic number.

It is an amenable number.

313333505333313 is a deficient number, since it is larger than the sum of its proper divisors (109232305866687).

313333505333313 is a wasteful number, since it uses less digits than its factorization.

313333505333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350.

The product of its (nonzero) digits is 1476225, while the sum is 42.

It can be divided in two parts, 31333350 and 5333313, that added together give a palindrome (36666663).

The spelling of 313333505333313 in words is "three hundred thirteen trillion, three hundred thirty-three billion, five hundred five million, three hundred thirty-three thousand, three hundred thirteen".