132201333000 has 1152 divisors, whose sum is σ = 536869438560. Its totient is φ = 29196288000.

The previous prime is 132201332959. The next prime is 132201333059. The reversal of 132201333000 is 333102231.

132201333000 is a `hidden beast` number, since 1 + 322 + 0 + 13 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 96707556 + 132104625444 = 9834^2 + 363462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 684980904 + ... + 684981096.

Almost surely, 2^132201333000 is an apocalyptic number.

132201333000 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 132201333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268434719280).

132201333000 is an abundant number, since it is smaller than the sum of its proper divisors (404668105560).

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

132201333000 is a wasteful number, since it uses less digits than its factorization.

132201333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132201333000 its reverse (333102231), we get a palindrome (132534435231).

The spelling of 132201333000 in words is "one hundred thirty-two billion, two hundred one million, three hundred thirty-three thousand".