313330242033313 has 4 divisors (see below), whose sum is σ = 324134733137940. Its totient is φ = 302525750928688.

The previous prime is 313330242033301. The next prime is 313330242033317.

313330242033313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 176019842959009 + 137310399074304 = 13267247^2 + 11717952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313330242033313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313330242033317) 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 3 ways as a sum of consecutive naturals, for example, 5402245552270 + ... + 5402245552327.

It is an arithmetic number, because the mean of its divisors is an integer number (81033683284485).

Almost surely, 2^{313330242033313} is an apocalyptic number.

It is an amenable number.

313330242033313 is a deficient number, since it is larger than the sum of its proper divisors (10804491104627).

313330242033313 is a wasteful number, since it uses less digits than its factorization.

313330242033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804491104626.

The product of its (nonzero) digits is 104976, while the sum is 34.

The spelling of 313330242033313 in words is "three hundred thirteen trillion, three hundred thirty billion, two hundred forty-two million, thirty-three thousand, three hundred thirteen".