133115527325601 has 20 divisors (see below), whose sum is σ = 198958442437524. Its totient is φ = 88695998762400.

The previous prime is 133115527325513. The next prime is 133115527325687. The reversal of 133115527325601 is 106523725511331.

133115527325601 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 5 + 5 + 2 + 7 + 32 + 5 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19530663261201 + 113584864064400 = 4419351^2 + 10657620^2 .

It is not a de Polignac number, because 133115527325601 - 2²⁹ = 133114990454689 is a prime.

It is a super-2 number, since 2×133115527325601² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133115527325401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 441386490 + ... + 441687971.

Almost surely, 2^{133115527325601} is an apocalyptic number.

It is an amenable number.

133115527325601 is a deficient number, since it is larger than the sum of its proper divisors (65842915111923).

133115527325601 is an equidigital number, since it uses as much as digits as its factorization.

133115527325601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883076334 (or 883076325 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 133115527325601 in words is "one hundred thirty-three trillion, one hundred fifteen billion, five hundred twenty-seven million, three hundred twenty-five thousand, six hundred one".