313585313 has 4 divisors (see below), whose sum is σ = 314073648. Its totient is φ = 313096980.

The previous prime is 313585309. The next prime is 313585319.

313585313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 313585313 - 2² = 313585309 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 313585313.

It is not an unprimeable number, because it can be changed into a prime (313585319) 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, 243203 + ... + 244488.

It is an arithmetic number, because the mean of its divisors is an integer number (78518412).

Almost surely, 2^313585313 is an apocalyptic number.

It is an amenable number.

313585313 is a deficient number, since it is larger than the sum of its proper divisors (488335).

313585313 is an equidigital number, since it uses as much as digits as its factorization.

313585313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488334.

The product of its digits is 16200, while the sum is 32.

The square root of 313585313 is about 17708.3402101947. The cubic root of 313585313 is about 679.3890944988.

The spelling of 313585313 in words is "three hundred thirteen million, five hundred eighty-five thousand, three hundred thirteen".