132213032000 has 224 divisors, whose sum is σ = 374703563520. Its totient is φ = 45269299200.

The previous prime is 132213031997. The next prime is 132213032069. The reversal of 132213032000 is 230312231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×132213032000³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132213032000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66807011 + ... + 66808989.

Almost surely, 2^132213032000 is an apocalyptic number.

132213032000 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 132213032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187351781760).

132213032000 is an abundant number, since it is smaller than the sum of its proper divisors (242490531520).

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

132213032000 is a wasteful number, since it uses less digits than its factorization.

132213032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132213032000 its reverse (230312231), we get a palindrome (132443344231).

The spelling of 132213032000 in words is "one hundred thirty-two billion, two hundred thirteen million, thirty-two thousand".