313545313 has 2 divisors, whose sum is σ = 313545314. Its totient is φ = 313545312.

The previous prime is 313545311. The next prime is 313545329.

313545313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310746384 + 2798929 = 17628^2 + 1673^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313545313 - 2¹ = 313545311 is a prime.

Together with 313545311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313545311) 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 as a sum of consecutive naturals, namely, 156772656 + 156772657.

It is an arithmetic number, because the mean of its divisors is an integer number (156772657).

Almost surely, 2^313545313 is an apocalyptic number.

It is an amenable number.

313545313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313545313 is an equidigital number, since it uses as much as digits as its factorization.

313545313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 28.

The square root of 313545313 is about 17707.2107628503. The cubic root of 313545313 is about 679.3602063268.

The spelling of 313545313 in words is "three hundred thirteen million, five hundred forty-five thousand, three hundred thirteen".