313363565363313 has 32 divisors (see below), whose sum is σ = 475089027895680. Its totient is φ = 204029055014400.

The previous prime is 313363565363239. The next prime is 313363565363383.

313363565363313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 6 + 3 + 565 + 3 + 63 + 3 + 13 = 666.

313363565363313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313363565363313 - 2¹⁶ = 313363565297777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313363565363313.

It is not an unprimeable number, because it can be changed into a prime (313363565363383) 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 31 ways as a sum of consecutive naturals, for example, 3354888 + ... + 25258313.

It is an arithmetic number, because the mean of its divisors is an integer number (14846532121740).

Almost surely, 2^{313363565363313} is an apocalyptic number.

It is an amenable number.

313363565363313 is a deficient number, since it is larger than the sum of its proper divisors (161725462532367).

313363565363313 is a wasteful number, since it uses less digits than its factorization.

313363565363313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28622686 (or 28622680 counting only the distinct ones).

The product of its digits is 35429400, while the sum is 54.

The spelling of 313363565363313 in words is "three hundred thirteen trillion, three hundred sixty-three billion, five hundred sixty-five million, three hundred sixty-three thousand, three hundred thirteen".