313210323012313 has 8 divisors (see below), whose sum is σ = 313224742031688. Its totient is φ = 313195904415744.

The previous prime is 313210323012217. The next prime is 313210323012317.

It is a happy number.

313210323012313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19650176853904 + 293560146158409 = 4432852^2 + 17133597^2 .

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 313210323012313 - 2²¹ = 313210320915161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313210323012317) 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, 3560256595 + ... + 3560344567.

It is an arithmetic number, because the mean of its divisors is an integer number (39153092753961).

Almost surely, 2^{313210323012313} is an apocalyptic number.

It is an amenable number.

313210323012313 is a deficient number, since it is larger than the sum of its proper divisors (14419019375).

313210323012313 is an equidigital number, since it uses as much as digits as its factorization.

313210323012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211403.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 313210323012313 in words is "three hundred thirteen trillion, two hundred ten billion, three hundred twenty-three million, twelve thousand, three hundred thirteen".