313013236337 has 2 divisors, whose sum is σ = 313013236338. Its totient is φ = 313013236336.

The previous prime is 313013236331. The next prime is 313013236379. The reversal of 313013236337 is 733632310313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245737326961 + 67275909376 = 495719^2 + 259376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313013236337 is a prime.

It is a super-2 number, since 2×313013236337² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313013236297 and 313013236306.

It is not a weakly prime, because it can be changed into another prime (313013236331) 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 as a sum of consecutive naturals, namely, 156506618168 + 156506618169.

It is an arithmetic number, because the mean of its divisors is an integer number (156506618169).

Almost surely, 2^313013236337 is an apocalyptic number.

It is an amenable number.

313013236337 is a deficient number, since it is larger than the sum of its proper divisors (1).

313013236337 is an equidigital number, since it uses as much as digits as its factorization.

313013236337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 35.

The spelling of 313013236337 in words is "three hundred thirteen billion, thirteen million, two hundred thirty-six thousand, three hundred thirty-seven".