132213432330 has 256 divisors, whose sum is σ = 416489472000. Its totient is φ = 29206344960.

The previous prime is 132213432313. The next prime is 132213432331. The reversal of 132213432330 is 33234312231.

132213432330 is a `hidden beast` number, since 1 + 3 + 221 + 3 + 432 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132213432294 and 132213432303.

It is not an unprimeable number, because it can be changed into a prime (132213432331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81966604 + ... + 81968216.

It is an arithmetic number, because the mean of its divisors is an integer number (1626912000).

Almost surely, 2^132213432330 is an apocalyptic number.

132213432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132213432330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208244736000).

132213432330 is an abundant number, since it is smaller than the sum of its proper divisors (284276039670).

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

132213432330 is a wasteful number, since it uses less digits than its factorization.

132213432330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132213432330 its reverse (33234312231), we get a palindrome (165447744561).

The spelling of 132213432330 in words is "one hundred thirty-two billion, two hundred thirteen million, four hundred thirty-two thousand, three hundred thirty".