313013323313 has 8 divisors (see below), whose sum is σ = 321760985832. Its totient is φ = 304280810496.

The previous prime is 313013323309. The next prime is 313013323369. The reversal of 313013323313 is 313323310313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 366837409 + 312646485904 = 19153^2 + 559148^2 .

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 313013323313 - 2² = 313013323309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313013323613) 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, 3745520 + ... + 3828177.

It is an arithmetic number, because the mean of its divisors is an integer number (40220123229).

Almost surely, 2^313013323313 is an apocalyptic number.

It is an amenable number.

313013323313 is a deficient number, since it is larger than the sum of its proper divisors (8747662519).

313013323313 is a wasteful number, since it uses less digits than its factorization.

313013323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574851.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 313013323313 its reverse (313323310313), we get a palindrome (626336633626).

The spelling of 313013323313 in words is "three hundred thirteen billion, thirteen million, three hundred twenty-three thousand, three hundred thirteen".