1013265874129 has 2 divisors, whose sum is σ = 1013265874130. Its totient is φ = 1013265874128.

The previous prime is 1013265874097. The next prime is 1013265874157. The reversal of 1013265874129 is 9214785623101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913653045904 + 99612828225 = 955852^2 + 315615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013265874129 - 2⁵ = 1013265874097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013265874199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506632937064 + 506632937065.

It is an arithmetic number, because the mean of its divisors is an integer number (506632937065).

It is a 1-persistent number, because it is pandigital, but 2⋅1013265874129 = 2026531748258 is not.

Almost surely, 2^{1013265874129} is an apocalyptic number.

It is an amenable number.

1013265874129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013265874129 is an equidigital number, since it uses as much as digits as its factorization.

1013265874129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 1013265874129 in words is "one trillion, thirteen billion, two hundred sixty-five million, eight hundred seventy-four thousand, one hundred twenty-nine".