313323323323313 has 32 divisors (see below), whose sum is σ = 328111857916704. Its totient is φ = 298984608000000.

The previous prime is 313323323323277. The next prime is 313323323323399.

313323323323313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 204467320828849 + 108856002494464 = 14299207^2 + 10433408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313323323323313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313323323320313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247861163 + ... + 249122063.

It is an arithmetic number, because the mean of its divisors is an integer number (10253495559897).

Almost surely, 2^{313323323323313} is an apocalyptic number.

It is an amenable number.

313323323323313 is a deficient number, since it is larger than the sum of its proper divisors (14788534593391).

313323323323313 is a wasteful number, since it uses less digits than its factorization.

313323323323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261877.

The product of its digits is 472392, while the sum is 38.

The spelling of 313323323323313 in words is "three hundred thirteen trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-three thousand, three hundred thirteen".