13013182129 has 2 divisors, whose sum is σ = 13013182130. Its totient is φ = 13013182128.

The previous prime is 13013182109. The next prime is 13013182177. The reversal of 13013182129 is 92128131031.

13013182129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10075542129 + 2937640000 = 100377^2 + 54200^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013182129 - 2⁷ = 13013182001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13013182129.

It is not a weakly prime, because it can be changed into another prime (13013182109) 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, 6506591064 + 6506591065.

It is an arithmetic number, because the mean of its divisors is an integer number (6506591065).

Almost surely, 2^13013182129 is an apocalyptic number.

It is an amenable number.

13013182129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013182129 is an equidigital number, since it uses as much as digits as its factorization.

13013182129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 13013182129 in words is "thirteen billion, thirteen million, one hundred eighty-two thousand, one hundred twenty-nine".