313352202253313 has 24 divisors (see below), whose sum is σ = 353857559128320. Its totient is φ = 276631315603200.

The previous prime is 313352202253289. The next prime is 313352202253357.

313352202253313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313352202253313 - 2²⁰ = 313352201204737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313352202253613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281952881 + ... + 283062062.

It is an arithmetic number, because the mean of its divisors is an integer number (14744064963680).

Almost surely, 2^{313352202253313} is an apocalyptic number.

It is an amenable number.

313352202253313 is a deficient number, since it is larger than the sum of its proper divisors (40505356875007).

313352202253313 is a wasteful number, since it uses less digits than its factorization.

313352202253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565015097 (or 565015080 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 38.

It can be divided in two parts, 31335220 and 2253313, that added together give a palindrome (33588533).

The spelling of 313352202253313 in words is "three hundred thirteen trillion, three hundred fifty-two billion, two hundred two million, two hundred fifty-three thousand, three hundred thirteen".