313447424744313 has 16 divisors (see below), whose sum is σ = 491682234893760. Its totient is φ = 196672893956928.

The previous prime is 313447424744281. The next prime is 313447424744357.

It is a happy number.

313447424744313 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 47 + 4 + 247 + 44 + 313 = 666.

313447424744313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313447424744313 - 2⁵ = 313447424744281 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313447424744313.

It is not an unprimeable number, because it can be changed into a prime (313447424744383) 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 15 ways as a sum of consecutive naturals, for example, 341445995995 + ... + 341445996912.

It is an arithmetic number, because the mean of its divisors is an integer number (30730139680860).

Almost surely, 2^{313447424744313} is an apocalyptic number.

It is an amenable number.

313447424744313 is a deficient number, since it is larger than the sum of its proper divisors (178234810149447).

313447424744313 is a wasteful number, since it uses less digits than its factorization.

313447424744313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682891992933 (or 682891992927 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 54.

The spelling of 313447424744313 in words is "three hundred thirteen trillion, four hundred forty-seven billion, four hundred twenty-four million, seven hundred forty-four thousand, three hundred thirteen".