133261003840129 has 81 divisors (see below), whose sum is σ = 153370350503433. Its totient is φ = 115697312755200.

The previous prime is 133261003840087. The next prime is 133261003840141. The reversal of 133261003840129 is 921048300162331.

The square root of 133261003840129 is 11543873.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4875153600625 + 128385850239504 = 2207975^2 + 11330748^2 .

It is not a de Polignac number, because 133261003840129 - 2²¹ = 133261001742977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133261003840189) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 381836687047 + ... + 381836687395.

Almost surely, 2^{133261003840129} is an apocalyptic number.

133261003840129 is the 11543873-rd square number.

133261003840129 is the 5771937-th centered octagonal number.

It is an amenable number.

133261003840129 is a deficient number, since it is larger than the sum of its proper divisors (20109346663304).

133261003840129 is an frugal number, since it uses more digits than its factorization.

133261003840129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 133261003840129 in words is "one hundred thirty-three trillion, two hundred sixty-one billion, three million, eight hundred forty thousand, one hundred twenty-nine".