132201133000 has 128 divisors (see below), whose sum is σ = 316951820640. Its totient is φ = 51592320000.

The previous prime is 132201132937. The next prime is 132201133061. The reversal of 132201133000 is 331102231.

132201133000 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 16 ways, for example, as 20298840676 + 111902292324 = 142474^2 + 334518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9586110 + ... + 9599890.

Almost surely, 2^132201133000 is an apocalyptic number.

132201133000 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 132201133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158475910320).

132201133000 is an abundant number, since it is smaller than the sum of its proper divisors (184750687640).

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

132201133000 is a wasteful number, since it uses less digits than its factorization.

132201133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14036 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132201133000 its reverse (331102231), we get a palindrome (132532235231).

The spelling of 132201133000 in words is "one hundred thirty-two billion, two hundred one million, one hundred thirty-three thousand".