20331411100 has 288 divisors, whose sum is σ = 59853169152. Its totient is φ = 5788800000.

The previous prime is 20331411097. The next prime is 20331411109. The reversal of 20331411100 is 111413302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331411109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10109095 + ... + 10111105.

It is an arithmetic number, because the mean of its divisors is an integer number (207823504).

Almost surely, 2^20331411100 is an apocalyptic number.

20331411100 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 20331411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926584576).

20331411100 is an abundant number, since it is smaller than the sum of its proper divisors (39521758052).

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

20331411100 is a wasteful number, since it uses less digits than its factorization.

20331411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20331411100 its reverse (111413302), we get a palindrome (20442824402).

The spelling of 20331411100 in words is "twenty billion, three hundred thirty-one million, four hundred eleven thousand, one hundred".