313352013 has 16 divisors (see below), whose sum is σ = 450443840. Its totient is φ = 192616704.

The previous prime is 313351991. The next prime is 313352021. The reversal of 313352013 is 310253313.

It is not a de Polignac number, because 313352013 - 2⁵ = 313351981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313352113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35370 + ... + 43332.

It is an arithmetic number, because the mean of its divisors is an integer number (28152740).

Almost surely, 2^313352013 is an apocalyptic number.

It is an amenable number.

313352013 is a deficient number, since it is larger than the sum of its proper divisors (137091827).

313352013 is a wasteful number, since it uses less digits than its factorization.

313352013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 313352013 is about 17701.7516929823. The cubic root of 313352013 is about 679.2205696003.

The spelling of 313352013 in words is "three hundred thirteen million, three hundred fifty-two thousand, thirteen".