132201636633261 has 28 divisors (see below), whose sum is σ = 213458841817788. Its totient is φ = 81354853306944.

The previous prime is 132201636633233. The next prime is 132201636633263. The reversal of 132201636633261 is 162336636102231.

132201636633261 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 1 + 6 + 3 + 6 + 633 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35769609792900 + 96432026840361 = 5980770^2 + 9819981^2 .

It is not a de Polignac number, because 132201636633261 - 2¹⁰ = 132201636632237 is a prime.

It is a super-2 number, since 2×132201636633261² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201636633263) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6974857920 + ... + 6974876873.

It is an arithmetic number, because the mean of its divisors is an integer number (7623530064921).

Almost surely, 2^{132201636633261} is an apocalyptic number.

It is an amenable number.

132201636633261 is a deficient number, since it is larger than the sum of its proper divisors (81257205184527).

132201636633261 is an equidigital number, since it uses as much as digits as its factorization.

132201636633261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949734824 (or 13949734809 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 132201636633261 in words is "one hundred thirty-two trillion, two hundred one billion, six hundred thirty-six million, six hundred thirty-three thousand, two hundred sixty-one".