132100222320 has 480 divisors, whose sum is σ = 527023411200. Its totient is φ = 29291673600.

The previous prime is 132100222313. The next prime is 132100222333. The reversal of 132100222320 is 23222001231.

132100222320 is a `hidden beast` number, since 1 + 321 + 0 + 0 + 2 + 22 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132100222293 and 132100222302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4348785 + ... + 4379055.

It is an arithmetic number, because the mean of its divisors is an integer number (1097965440).

Almost surely, 2^132100222320 is an apocalyptic number.

132100222320 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 132100222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263511705600).

132100222320 is an abundant number, since it is smaller than the sum of its proper divisors (394923188880).

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

132100222320 is a wasteful number, since it uses less digits than its factorization.

132100222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30349 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132100222320 its reverse (23222001231), we get a palindrome (155322223551).

Subtracting from 132100222320 its reverse (23222001231), we obtain a square (108878221089 = 329967²).

The spelling of 132100222320 in words is "one hundred thirty-two billion, one hundred million, two hundred twenty-two thousand, three hundred twenty".