313233332313 has 32 divisors (see below), whose sum is σ = 457738186752. Its totient is φ = 188953560000.

The previous prime is 313233332299. The next prime is 313233332323.

It is a happy number.

313233332313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313233332313 - 2⁴ = 313233332297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313233332323) 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, 12967395 + ... + 12991527.

It is an arithmetic number, because the mean of its divisors is an integer number (14304318336).

Almost surely, 2^313233332313 is an apocalyptic number.

313233332313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313233332313 is a deficient number, since it is larger than the sum of its proper divisors (144504854439).

313233332313 is a wasteful number, since it uses less digits than its factorization.

313233332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25965.

The product of its digits is 26244, while the sum is 30.

It can be divided in two parts, 313233 and 332313, that added together give a palindrome (645546).

The spelling of 313233332313 in words is "three hundred thirteen billion, two hundred thirty-three million, three hundred thirty-two thousand, three hundred thirteen".