13010004310129 has 2 divisors, whose sum is σ = 13010004310130. Its totient is φ = 13010004310128.

The previous prime is 13010004310103. The next prime is 13010004310133. The reversal of 13010004310129 is 92101340001031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11917408665600 + 1092595644529 = 3452160^2 + 1045273^2 .

It is an emirp because it is prime and its reverse (92101340001031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13010004310129 - 2¹⁹ = 13010003785841 is a prime.

It is not a weakly prime, because it can be changed into another prime (13010004310139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505002155064 + 6505002155065.

It is an arithmetic number, because the mean of its divisors is an integer number (6505002155065).

Almost surely, 2^{13010004310129} is an apocalyptic number.

It is an amenable number.

13010004310129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010004310129 is an equidigital number, since it uses as much as digits as its factorization.

13010004310129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 13010004310129 in words is "thirteen trillion, ten billion, four million, three hundred ten thousand, one hundred twenty-nine".