10033013002129 has 8 divisors (see below), whose sum is σ = 10868716864040. Its totient is φ = 9261242769168.

The previous prime is 10033013002121. The next prime is 10033013002151. The reversal of 10033013002129 is 92120031033001.

It can be written as a sum of positive squares in 4 ways, for example, as 5435183497104 + 4597829505025 = 2331348^2 + 2144255^2 .

It is not a de Polignac number, because 10033013002129 - 2³ = 10033013002121 is a prime.

It is a super-2 number, since 2×10033013002129² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10033013002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283341682 + ... + 2283346075.

It is an arithmetic number, because the mean of its divisors is an integer number (1358589608005).

Almost surely, 2^{10033013002129} is an apocalyptic number.

It is an amenable number.

10033013002129 is a deficient number, since it is larger than the sum of its proper divisors (835703861911).

10033013002129 is an frugal number, since it uses more digits than its factorization.

10033013002129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566687796 (or 4566687770 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 10033013002129 in words is "ten trillion, thirty-three billion, thirteen million, two thousand, one hundred twenty-nine".