13813354313 has 12 divisors (see below), whose sum is σ = 15205026564. Its totient is φ = 12539604000.

The previous prime is 13813354309. The next prime is 13813354349. The reversal of 13813354313 is 31345331831.

It can be written as a sum of positive squares in 2 ways, for example, as 7084925584 + 6728428729 = 84172^2 + 82027^2 .

It is not a de Polignac number, because 13813354313 - 2² = 13813354309 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13813351313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3395 + ... + 166247.

It is an arithmetic number, because the mean of its divisors is an integer number (1267085547).

Almost surely, 2^13813354313 is an apocalyptic number.

It is an amenable number.

13813354313 is a deficient number, since it is larger than the sum of its proper divisors (1391672251).

13813354313 is a wasteful number, since it uses less digits than its factorization.

13813354313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163576 (or 163565 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The spelling of 13813354313 in words is "thirteen billion, eight hundred thirteen million, three hundred fifty-four thousand, three hundred thirteen".