313331323133313 has 24 divisors (see below), whose sum is σ = 456073868105856. Its totient is φ = 207279670946400.

The previous prime is 313331323133237. The next prime is 313331323133321.

313331323133313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 3 + 1 + 3 + 2 + 313 + 331 + 3 = 666.

313331323133313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313331323133313 - 2⁸ = 313331323133057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313331323133513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9841656 + ... + 26898342.

It is an arithmetic number, because the mean of its divisors is an integer number (19003077837744).

Almost surely, 2^{313331323133313} is an apocalyptic number.

It is an amenable number.

313331323133313 is a deficient number, since it is larger than the sum of its proper divisors (142742544972543).

313331323133313 is a wasteful number, since it uses less digits than its factorization.

313331323133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17072405 (or 17072402 counting only the distinct ones).

The product of its digits is 118098, while the sum is 36.

The spelling of 313331323133313 in words is "three hundred thirteen trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, three hundred thirteen".