313312202213313 has 64 divisors (see below), whose sum is σ = 434476289608704. Its totient is φ = 200691025920000.

The previous prime is 313312202213293. The next prime is 313312202213357.

313312202213313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313312202213313 - 2¹² = 313312202209217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313312202213513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2077137145 + ... + 2077287977.

It is an arithmetic number, because the mean of its divisors is an integer number (6788692025136).

Almost surely, 2^{313312202213313} is an apocalyptic number.

It is an amenable number.

313312202213313 is a deficient number, since it is larger than the sum of its proper divisors (121164087395391).

313312202213313 is a wasteful number, since it uses less digits than its factorization.

313312202213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151866.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 31331220 and 2213313, that added together give a palindrome (33544533).

The spelling of 313312202213313 in words is "three hundred thirteen trillion, three hundred twelve billion, two hundred two million, two hundred thirteen thousand, three hundred thirteen".