313548404845313 has 12 divisors (see below), whose sum is σ = 344652557289600. Its totient is φ = 285037021577880.

The previous prime is 313548404845309. The next prime is 313548404845343.

It is a happy number.

313548404845313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313548404845313 - 2² = 313548404845309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313548404845343) 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 11 ways as a sum of consecutive naturals, for example, 26777213 + ... + 36662186.

It is an arithmetic number, because the mean of its divisors is an integer number (28721046440800).

Almost surely, 2^{313548404845313} is an apocalyptic number.

It is an amenable number.

313548404845313 is a deficient number, since it is larger than the sum of its proper divisors (31104152444287).

313548404845313 is a wasteful number, since it uses less digits than its factorization.

313548404845313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63480268 (or 63480257 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 313548404845313 in words is "three hundred thirteen trillion, five hundred forty-eight billion, four hundred four million, eight hundred forty-five thousand, three hundred thirteen".