313233121332313 has 16 divisors (see below), whose sum is σ = 385519922686080. Its totient is φ = 247831362579456.

The previous prime is 313233121332247. The next prime is 313233121332347.

313233121332313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313233121332313 - 2³³ = 313224531397721 is a prime.

It is a super-2 number, since 2×313233121332313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313233121332913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5945358 + ... + 25725736.

It is an arithmetic number, because the mean of its divisors is an integer number (24094995167880).

Almost surely, 2^{313233121332313} is an apocalyptic number.

It is an amenable number.

313233121332313 is a deficient number, since it is larger than the sum of its proper divisors (72286801353767).

313233121332313 is a wasteful number, since it uses less digits than its factorization.

313233121332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19954416.

The product of its digits is 52488, while the sum is 34.

The spelling of 313233121332313 in words is "three hundred thirteen trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred thirteen".