313342202243313 has 48 divisors (see below), whose sum is σ = 467085150604800. Its totient is φ = 202307477366400.

The previous prime is 313342202243267. The next prime is 313342202243333.

313342202243313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 4 + 2 + 202 + 2 + 433 + 13 = 666.

313342202243313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313342202243313 - 2²¹ = 313342200146161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313342202243333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70867828 + ... + 75159386.

It is an arithmetic number, because the mean of its divisors is an integer number (9730940637600).

Almost surely, 2^{313342202243313} is an apocalyptic number.

It is an amenable number.

313342202243313 is a deficient number, since it is larger than the sum of its proper divisors (153742948361487).

313342202243313 is a wasteful number, since it uses less digits than its factorization.

313342202243313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293422 (or 4293419 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 31334220 and 2243313, that added together give a palindrome (33577533).

The spelling of 313342202243313 in words is "three hundred thirteen trillion, three hundred forty-two billion, two hundred two million, two hundred forty-three thousand, three hundred thirteen".