313634013 has 32 divisors (see below), whose sum is σ = 526279680. Its totient is φ = 161391360.

The previous prime is 313634011. The next prime is 313634017. The reversal of 313634013 is 310436313.

It is not a de Polignac number, because 313634013 - 2¹ = 313634011 is a prime.

It is a super-2 number, since 2×313634013² = 196732588220968338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313634011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18373 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (16446240).

Almost surely, 2^313634013 is an apocalyptic number.

313634013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313634013 is a deficient number, since it is larger than the sum of its proper divisors (212645667).

313634013 is a wasteful number, since it uses less digits than its factorization.

313634013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 313634013 is about 17709.7152151016. The cubic root of 313634013 is about 679.4242625322.

The spelling of 313634013 in words is "three hundred thirteen million, six hundred thirty-four thousand, thirteen".