13024129 has 2 divisors, whose sum is σ = 13024130. Its totient is φ = 13024128.

The previous prime is 13024117. The next prime is 13024133. The reversal of 13024129 is 92142031.

13024129 is digitally balanced in base 2 and base 3, because in such bases 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., 8862529 + 4161600 = 2977^2 + 2040^2 .

It is a cyclic number.

It is not a de Polignac number, because 13024129 - 2¹⁵ = 12991361 is a prime.

It is a super-3 number, since 3×13024129³ (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13024199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6512064 + 6512065.

It is an arithmetic number, because the mean of its divisors is an integer number (6512065).

Almost surely, 2^13024129 is an apocalyptic number.

It is an amenable number.

13024129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13024129 is an equidigital number, since it uses as much as digits as its factorization.

13024129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13024129 is about 3608.8958145117. The cubic root of 13024129 is about 235.2788541288.

The spelling of 13024129 in words is "thirteen million, twenty-four thousand, one hundred twenty-nine".