130933621120129 has 9 divisors (see below), whose sum is σ = 131359553505219. Its totient is φ = 130509065478960.

The previous prime is 130933621120091. The next prime is 130933621120147. The reversal of 130933621120129 is 921021126339031.

The square root of 130933621120129 is 11442623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8573564644225 + 122360056475904 = 2928065^2 + 11061648^2 .

It is not a de Polignac number, because 130933621120129 - 2¹¹ = 130933621118081 is a prime.

It is a super-2 number, since 2×130933621120129² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130933621120829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3558637357 + ... + 3558674149.

Almost surely, 2^{130933621120129} is an apocalyptic number.

130933621120129 is the 11442623-rd square number.

130933621120129 is the 5721312-nd centered octagonal number.

It is an amenable number.

130933621120129 is a deficient number, since it is larger than the sum of its proper divisors (425932385090).

130933621120129 is an frugal number, since it uses more digits than its factorization.

130933621120129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74208 (or 37104 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 130933621120129 in words is "one hundred thirty trillion, nine hundred thirty-three billion, six hundred twenty-one million, one hundred twenty thousand, one hundred twenty-nine".