13035290129 has 2 divisors, whose sum is σ = 13035290130. Its totient is φ = 13035290128.

The previous prime is 13035290117. The next prime is 13035290131. The reversal of 13035290129 is 92109253031.

13035290129 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., 11572380625 + 1462909504 = 107575^2 + 38248^2 .

It is a cyclic number.

It is not a de Polignac number, because 13035290129 - 2¹⁶ = 13035224593 is a prime.

Together with 13035290131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13035290189) 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, 6517645064 + 6517645065.

It is an arithmetic number, because the mean of its divisors is an integer number (6517645065).

Almost surely, 2^13035290129 is an apocalyptic number.

It is an amenable number.

13035290129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035290129 is an equidigital number, since it uses as much as digits as its factorization.

13035290129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 13035290129 in words is "thirteen billion, thirty-five million, two hundred ninety thousand, one hundred twenty-nine".