313323222323313 has 24 divisors (see below), whose sum is σ = 457266432055680. Its totient is φ = 206720128461600.

The previous prime is 313323222323233. The next prime is 313323222323323.

It is a happy number.

313323222323313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 2 + 322 + 2 + 323 + 3 + 1 + 3 = 666.

313323222323313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313323222323313 - 2⁸ = 313323222323057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313323222323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76229433 + ... + 80234486.

It is an arithmetic number, because the mean of its divisors is an integer number (19052768002320).

Almost surely, 2^{313323222323313} is an apocalyptic number.

It is an amenable number.

313323222323313 is a deficient number, since it is larger than the sum of its proper divisors (143943209732367).

313323222323313 is a wasteful number, since it uses less digits than its factorization.

313323222323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156466229 (or 156466226 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 313323222323313 in words is "three hundred thirteen trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, three hundred thirteen".