313653363356313 has 128 divisors (see below), whose sum is σ = 507579985313280. Its totient is φ = 190620739584000.

The previous prime is 313653363356293. The next prime is 313653363356341.

313653363356313 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 5 + 3 + 3 + 63 + 3 + 563 + 13 = 666.

313653363356313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313653363356313 - 2¹⁴ = 313653363339929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313653363356313.

It is not an unprimeable number, because it can be changed into a prime (313653363356353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13019512398 + ... + 13019536488.

It is an arithmetic number, because the mean of its divisors is an integer number (3965468635260).

Almost surely, 2^{313653363356313} is an apocalyptic number.

It is an amenable number.

313653363356313 is a deficient number, since it is larger than the sum of its proper divisors (193926621956967).

313653363356313 is a wasteful number, since it uses less digits than its factorization.

313653363356313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27576 (or 27570 counting only the distinct ones).

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

The spelling of 313653363356313 in words is "three hundred thirteen trillion, six hundred fifty-three billion, three hundred sixty-three million, three hundred fifty-six thousand, three hundred thirteen".