22032132131100 has 432 divisors, whose sum is σ = 78617094517248. Its totient is φ = 4639068080640.

The previous prime is 22032132131029. The next prime is 22032132131117. The reversal of 22032132131100 is 113123123022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 16908773049 + ... + 16908774351.

Almost surely, 2^{22032132131100} is an apocalyptic number.

22032132131100 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 22032132131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39308547258624).

22032132131100 is an abundant number, since it is smaller than the sum of its proper divisors (56584962386148).

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

22032132131100 is a wasteful number, since it uses less digits than its factorization.

22032132131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22032132131100 its reverse (113123123022), we get a palindrome (22145255254122).

The spelling of 22032132131100 in words is "twenty-two trillion, thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".