313362013 has 2 divisors, whose sum is σ = 313362014. Its totient is φ = 313362012.

The previous prime is 313362011. The next prime is 313362083. The reversal of 313362013 is 310263313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294019609 + 19342404 = 17147^2 + 4398^2 .

It is an emirp because it is prime and its reverse (310263313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313362013 - 2¹ = 313362011 is a prime.

Together with 313362011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313362011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156681006 + 156681007.

It is an arithmetic number, because the mean of its divisors is an integer number (156681007).

Almost surely, 2^313362013 is an apocalyptic number.

It is an amenable number.

313362013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313362013 is an equidigital number, since it uses as much as digits as its factorization.

313362013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 313362013 is about 17702.0341486508. The cubic root of 313362013 is about 679.2277948434.

The spelling of 313362013 in words is "three hundred thirteen million, three hundred sixty-two thousand, thirteen".