313324121423313 has 144 divisors (see below), whose sum is σ = 612567224983168. Its totient is φ = 150170525683200.

The previous prime is 313324121423309. The next prime is 313324121423351.

313324121423313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 2 + 412 + 1 + 4 + 233 + 1 + 3 = 666.

313324121423313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313324121423313 - 2² = 313324121423309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313324121423363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198501981 + ... + 200074197.

Almost surely, 2^{313324121423313} is an apocalyptic number.

313324121423313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313324121423313 is a deficient number, since it is larger than the sum of its proper divisors (299243103559855).

313324121423313 is a wasteful number, since it uses less digits than its factorization.

313324121423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574276 (or 1574262 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 313324121423313 in words is "three hundred thirteen trillion, three hundred twenty-four billion, one hundred twenty-one million, four hundred twenty-three thousand, three hundred thirteen".