132133413310344 has 48 divisors (see below), whose sum is σ = 367533255499020. Its totient is φ = 42854079991680.

The previous prime is 132133413310267. The next prime is 132133413310399. The reversal of 132133413310344 is 443013314331231.

132133413310344 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 334 + 1 + 3 + 310 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113067877022244 + 19065536288100 = 10633338^2 + 4366410^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132133413310299 and 132133413310308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24799812147 + ... + 24799817474.

Almost surely, 2^{132133413310344} is an apocalyptic number.

It is an amenable number.

132133413310344 is an abundant number, since it is smaller than the sum of its proper divisors (235399842188676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132133413310344 is a wasteful number, since it uses less digits than its factorization.

132133413310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49599629670 (or 49599629663 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 132133413310344 its reverse (443013314331231), we get a palindrome (575146727641575).

The spelling of 132133413310344 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, four hundred thirteen million, three hundred ten thousand, three hundred forty-four".