132302320112133 has 56 divisors (see below), whose sum is σ = 203873636398296. Its totient is φ = 85754642457600.

The previous prime is 132302320112117. The next prime is 132302320112153. The reversal of 132302320112133 is 331211023203231.

132302320112133 is a `hidden beast` number, since 1 + 3 + 2 + 302 + 3 + 201 + 121 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4520479804164 + 127781840307969 = 2126142^2 + 11304063^2 .

It is not a de Polignac number, because 132302320112133 - 2⁴ = 132302320112117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132302320112097 and 132302320112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132302320112153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34908273 + ... + 38512233.

Almost surely, 2^{132302320112133} is an apocalyptic number.

It is an amenable number.

132302320112133 is a deficient number, since it is larger than the sum of its proper divisors (71571316286163).

132302320112133 is an equidigital number, since it uses as much as digits as its factorization.

132302320112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605377 (or 3605362 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132302320112133 its reverse (331211023203231), we get a palindrome (463513343315364).

The spelling of 132302320112133 in words is "one hundred thirty-two trillion, three hundred two billion, three hundred twenty million, one hundred twelve thousand, one hundred thirty-three".