313303303313 has 16 divisors (see below), whose sum is σ = 420658982016. Its totient is φ = 225353024640.

The previous prime is 313303303277. The next prime is 313303303331.

313303303313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313303303313 - 2¹² = 313303299217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313303303213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156494156 + ... + 156496157.

It is an arithmetic number, because the mean of its divisors is an integer number (26291186376).

Almost surely, 2^313303303313 is an apocalyptic number.

It is an amenable number.

313303303313 is a deficient number, since it is larger than the sum of its proper divisors (107355678703).

313303303313 is a wasteful number, since it uses less digits than its factorization.

313303303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312990344.

The product of its (nonzero) digits is 6561, while the sum is 26.

It can be divided in two parts, 313303 and 303313, that added together give a palindrome (616616).

The spelling of 313303303313 in words is "three hundred thirteen billion, three hundred three million, three hundred three thousand, three hundred thirteen".