313233222332313 has 12 divisors (see below), whose sum is σ = 452453363612068. Its totient is φ = 208819667083680.

The previous prime is 313233222332311. The next prime is 313233222332347.

It is a happy number.

313233222332313 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 3 + 2 + 2 + 2 + 332 + 313 = 666.

313233222332313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 276355148388489 + 36878073943824 = 16623933^2 + 6072732^2 .

It is not a de Polignac number, because 313233222332313 - 2¹ = 313233222332311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313233222332311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205961770 + ... + 207477027.

Almost surely, 2^{313233222332313} is an apocalyptic number.

It is an amenable number.

313233222332313 is a deficient number, since it is larger than the sum of its proper divisors (139220141279755).

313233222332313 is a wasteful number, since it uses less digits than its factorization.

313233222332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413522984 (or 413522981 counting only the distinct ones).

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

The spelling of 313233222332313 in words is "three hundred thirteen trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred thirteen".