132122303231100 has 576 divisors, whose sum is σ = 483508109500416. Its totient is φ = 27106031185920.

The previous prime is 132122303231089. The next prime is 132122303231129. The reversal of 132122303231100 is 1132303221231.

It is a super-2 number, since 2×132122303231100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1653493749 + ... + 1653573651.

It is an arithmetic number, because the mean of its divisors is an integer number (839423801216).

Almost surely, 2^{132122303231100} is an apocalyptic number.

132122303231100 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 132122303231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241754054750208).

132122303231100 is an abundant number, since it is smaller than the sum of its proper divisors (351385806269316).

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

132122303231100 is a wasteful number, since it uses less digits than its factorization.

132122303231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81614 (or 81607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132122303231100 its reverse (1132303221231), we get a palindrome (133254606452331).

The spelling of 132122303231100 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred three million, two hundred thirty-one thousand, one hundred".