132233131332000 has 288 divisors, whose sum is σ = 469316301002640. Its totient is φ = 35260596633600.

The previous prime is 132233131331957. The next prime is 132233131332053. The reversal of 132233131332000 is 233131332231.

132233131332000 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 331 + 3 + 1 + 3 + 320 + 0 + 0 = 666.

132233131332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8461187251344 + 123771944080656 = 2908812^2 + 11125284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965919556 + ... + 966056444.

Almost surely, 2^{132233131332000} is an apocalyptic number.

132233131332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233131332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234658150501320).

132233131332000 is an abundant number, since it is smaller than the sum of its proper divisors (337083169670640).

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

132233131332000 is a wasteful number, since it uses less digits than its factorization.

132233131332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163753 (or 163732 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132233131332000 its reverse (233131332231), we get a palindrome (132466262664231).

The spelling of 132233131332000 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-two thousand".