313553545355313 has 16 divisors (see below), whose sum is σ = 464721356601600. Its totient is φ = 208946783336400.

The previous prime is 313553545355291. The next prime is 313553545355317.

313553545355313 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 5 + 3 + 54 + 53 + 5 + 531 + 3 = 666.

313553545355313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313553545355313 - 2¹² = 313553545351217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313553545355313.

It is not an unprimeable number, because it can be changed into a prime (313553545355317) 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, 2469756658 + ... + 2469883611.

It is an arithmetic number, because the mean of its divisors is an integer number (29045084787600).

Almost surely, 2^{313553545355313} is an apocalyptic number.

It is an amenable number.

313553545355313 is a deficient number, since it is larger than the sum of its proper divisors (151167811246287).

313553545355313 is a wasteful number, since it uses less digits than its factorization.

313553545355313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939642629 (or 4939642623 counting only the distinct ones).

The product of its digits is 45562500, while the sum is 54.

The spelling of 313553545355313 in words is "three hundred thirteen trillion, five hundred fifty-three billion, five hundred forty-five million, three hundred fifty-five thousand, three hundred thirteen".