10520540123129 has 2 divisors, whose sum is σ = 10520540123130. Its totient is φ = 10520540123128.

The previous prime is 10520540123113. The next prime is 10520540123141. The reversal of 10520540123129 is 92132104502501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10465399690729 + 55140432400 = 3235027^2 + 234820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10520540123129 - 2⁴ = 10520540123113 is a prime.

It is a super-2 number, since 2×10520540123129² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10520540123329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5260270061564 + 5260270061565.

It is an arithmetic number, because the mean of its divisors is an integer number (5260270061565).

Almost surely, 2^{10520540123129} is an apocalyptic number.

It is an amenable number.

10520540123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10520540123129 is an equidigital number, since it uses as much as digits as its factorization.

10520540123129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 10520540123129 in words is "ten trillion, five hundred twenty billion, five hundred forty million, one hundred twenty-three thousand, one hundred twenty-nine".