13763875137113 has 2 divisors, whose sum is σ = 13763875137114. Its totient is φ = 13763875137112.

The previous prime is 13763875137091. The next prime is 13763875137139. The reversal of 13763875137113 is 31173157836731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12950987167504 + 812887969609 = 3598748^2 + 901603^2 .

It is a cyclic number.

It is not a de Polignac number, because 13763875137113 - 2³⁰ = 13762801395289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13763875131113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6881937568556 + 6881937568557.

It is an arithmetic number, because the mean of its divisors is an integer number (6881937568557).

Almost surely, 2^{13763875137113} is an apocalyptic number.

It is an amenable number.

13763875137113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763875137113 is an equidigital number, since it uses as much as digits as its factorization.

13763875137113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6667920, while the sum is 56.

The spelling of 13763875137113 in words is "thirteen trillion, seven hundred sixty-three billion, eight hundred seventy-five million, one hundred thirty-seven thousand, one hundred thirteen".