313686313 has 2 divisors, whose sum is σ = 313686314. Its totient is φ = 313686312.

The previous prime is 313686311. The next prime is 313686341.

313686313 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., 262018969 + 51667344 = 16187^2 + 7188^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313686313 - 2¹ = 313686311 is a prime.

Together with 313686311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313686311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156843156 + 156843157.

It is an arithmetic number, because the mean of its divisors is an integer number (156843157).

Almost surely, 2^313686313 is an apocalyptic number.

It is an amenable number.

313686313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313686313 is an equidigital number, since it uses as much as digits as its factorization.

313686313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 34.

The square root of 313686313 is about 17711.1917442051. The cubic root of 313686313 is about 679.4620262020.

The spelling of 313686313 in words is "three hundred thirteen million, six hundred eighty-six thousand, three hundred thirteen".