313303313 has 6 divisors (see below), whose sum is σ = 316446342. Its totient is φ = 310191200.

The previous prime is 313303301. The next prime is 313303321.

313303313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 274465489 + 38837824 = 16567^2 + 6232^2 .

It is not a de Polignac number, because 313303313 - 2⁸ = 313303057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313303213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5156 + ... + 25557.

It is an arithmetic number, because the mean of its divisors is an integer number (52741057).

Almost surely, 2^313303313 is an apocalyptic number.

It is an amenable number.

313303313 is a deficient number, since it is larger than the sum of its proper divisors (3143029).

313303313 is an equidigital number, since it uses as much as digits as its factorization.

313303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30915 (or 30814 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 313303313 is about 17700.3760694512. The cubic root of 313303313 is about 679.1853804689.

It can be divided in two parts, 31330 and 3313, that added together give a palindrome (34643).

The spelling of 313303313 in words is "three hundred thirteen million, three hundred three thousand, three hundred thirteen".