313332222233313 has 24 divisors (see below), whose sum is σ = 487490904723680. Its totient is φ = 193291848227520.

The previous prime is 313332222233263. The next prime is 313332222233339.

It is a happy number.

313332222233313 is a `hidden beast` number, since 3 + 1 + 3 + 332 + 2 + 2 + 2 + 2 + 3 + 3 + 313 = 666.

313332222233313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313332222233313 - 2¹⁷ = 313332222102241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313332222234313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21306413308 + ... + 21306428013.

Almost surely, 2^{313332222233313} is an apocalyptic number.

It is an amenable number.

313332222233313 is a deficient number, since it is larger than the sum of its proper divisors (174158682490367).

313332222233313 is a wasteful number, since it uses less digits than its factorization.

313332222233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42612841389 (or 42612841386 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 313332222233313 in words is "three hundred thirteen trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred thirteen".