13683824129 has 2 divisors, whose sum is σ = 13683824130. Its totient is φ = 13683824128.

The previous prime is 13683824057. The next prime is 13683824153. The reversal of 13683824129 is 92142838631.

13683824129 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., 12774198529 + 909625600 = 113023^2 + 30160^2 .

It is an emirp because it is prime and its reverse (92142838631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13683824129 - 2⁸ = 13683823873 is a prime.

It is not a weakly prime, because it can be changed into another prime (13683824179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6841912064 + 6841912065.

It is an arithmetic number, because the mean of its divisors is an integer number (6841912065).

Almost surely, 2^13683824129 is an apocalyptic number.

It is an amenable number.

13683824129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13683824129 is an equidigital number, since it uses as much as digits as its factorization.

13683824129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 47.

The spelling of 13683824129 in words is "thirteen billion, six hundred eighty-three million, eight hundred twenty-four thousand, one hundred twenty-nine".