313303303303313 has 4 divisors (see below), whose sum is σ = 313303923772980. Its totient is φ = 313302682833648.

The previous prime is 313303303303261. The next prime is 313303303303349.

313303303303313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30113237927809 + 283190065375504 = 5487553^2 + 16828252^2 .

It is a cyclic number.

It is not a de Polignac number, because 313303303303313 - 2²⁸ = 313303034867857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313303303303313.

It is not an unprimeable number, because it can be changed into a prime (313303303303363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309476798 + ... + 310487511.

It is an arithmetic number, because the mean of its divisors is an integer number (78325980943245).

Almost surely, 2^{313303303303313} is an apocalyptic number.

It is an amenable number.

313303303303313 is a deficient number, since it is larger than the sum of its proper divisors (620469667).

313303303303313 is an equidigital number, since it uses as much as digits as its factorization.

313303303303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620469666.

The product of its (nonzero) digits is 59049, while the sum is 32.

It can be divided in two parts, 31330330 and 3303313, that added together give a palindrome (34633643).

The spelling of 313303303303313 in words is "three hundred thirteen trillion, three hundred three billion, three hundred three million, three hundred three thousand, three hundred thirteen".