201132132000 has 192 divisors, whose sum is σ = 659628313344. Its totient is φ = 53576678400.

The previous prime is 201132131911. The next prime is 201132132013. The reversal of 201132132000 is 231231102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11595334 + ... + 11612666.

It is an arithmetic number, because the mean of its divisors is an integer number (3435564132).

Almost surely, 2^201132132000 is an apocalyptic number.

201132132000 is a gapful number since it is divisible by the number (20) 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 201132132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329814156672).

201132132000 is an abundant number, since it is smaller than the sum of its proper divisors (458496181344).

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

201132132000 is a wasteful number, since it uses less digits than its factorization.

201132132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201132132000 its reverse (231231102), we get a palindrome (201363363102).

The spelling of 201132132000 in words is "two hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand".