13127734112329 has 2 divisors, whose sum is σ = 13127734112330. Its totient is φ = 13127734112328.

The previous prime is 13127734112261. The next prime is 13127734112347. The reversal of 13127734112329 is 92321143772131.

13127734112329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11667689640000 + 1460044472329 = 3415800^2 + 1208323^2 .

It is an emirp because it is prime and its reverse (92321143772131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13127734112329 - 2²⁷ = 13127599894601 is a prime.

It is not a weakly prime, because it can be changed into another prime (13127734112429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6563867056164 + 6563867056165.

It is an arithmetic number, because the mean of its divisors is an integer number (6563867056165).

Almost surely, 2^{13127734112329} is an apocalyptic number.

It is an amenable number.

13127734112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13127734112329 is an equidigital number, since it uses as much as digits as its factorization.

13127734112329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 46.

The spelling of 13127734112329 in words is "thirteen trillion, one hundred twenty-seven billion, seven hundred thirty-four million, one hundred twelve thousand, three hundred twenty-nine".