313221404122313 has 8 divisors (see below), whose sum is σ = 316342376702856. Its totient is φ = 310100819200000.

The previous prime is 313221404122301. The next prime is 313221404122321.

313221404122313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 239513633107984 + 73707771014329 = 15476228^2 + 8585323^2 .

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 313221404122313 - 2⁸ = 313221404122057 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 313221404122313.

It is not an unprimeable number, because it can be changed into a prime (313221407122313) 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, 95290406 + ... + 98522607.

It is an arithmetic number, because the mean of its divisors is an integer number (39542797087857).

Almost surely, 2^{313221404122313} is an apocalyptic number.

It is an amenable number.

313221404122313 is a deficient number, since it is larger than the sum of its proper divisors (3120972580543).

313221404122313 is a wasteful number, since it uses less digits than its factorization.

313221404122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193829115.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31322140 and 4122313, that added together give a palindrome (35444453).

The spelling of 313221404122313 in words is "three hundred thirteen trillion, two hundred twenty-one billion, four hundred four million, one hundred twenty-two thousand, three hundred thirteen".