313322202223313 has 8 divisors (see below), whose sum is σ = 318439844313960. Its totient is φ = 308244078604800.

The previous prime is 313322202223271. The next prime is 313322202223319.

313322202223313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 86143513510609 + 227178688712704 = 9281353^2 + 15072448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313322202223313 - 2²⁶ = 313322135114449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313322202223313.

It is not an unprimeable number, because it can be changed into a prime (313322202223319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9879602048 + ... + 9879633761.

It is an arithmetic number, because the mean of its divisors is an integer number (39804980539245).

Almost surely, 2^{313322202223313} is an apocalyptic number.

It is an amenable number.

313322202223313 is a deficient number, since it is larger than the sum of its proper divisors (5117642090647).

313322202223313 is a wasteful number, since it uses less digits than its factorization.

313322202223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19759236067.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 31332220 and 2223313, that added together give a palindrome (33555533).

The spelling of 313322202223313 in words is "three hundred thirteen trillion, three hundred twenty-two billion, two hundred two million, two hundred twenty-three thousand, three hundred thirteen".