313436013 has 16 divisors (see below), whose sum is σ = 456466752. Its totient is φ = 189728000.

The previous prime is 313435979. The next prime is 313436033. The reversal of 313436013 is 310634313.

It is not a de Polignac number, because 313436013 - 2⁸ = 313435757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313436033) 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, 23683 + ... + 34463.

It is an arithmetic number, because the mean of its divisors is an integer number (28529172).

Almost surely, 2^313436013 is an apocalyptic number.

313436013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313436013 is a deficient number, since it is larger than the sum of its proper divisors (143030739).

313436013 is a wasteful number, since it uses less digits than its factorization.

313436013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676.

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

The square root of 313436013 is about 17704.1241805405. The cubic root of 313436013 is about 679.2812568658.

The spelling of 313436013 in words is "three hundred thirteen million, four hundred thirty-six thousand, thirteen".