20133311100 has 144 divisors (see below), whose sum is σ = 67933152000. Its totient is φ = 4601876160.

The previous prime is 20133311071. The next prime is 20133311111. The reversal of 20133311100 is 111333102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20133311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5071 + ... + 200729.

It is an arithmetic number, because the mean of its divisors is an integer number (471758000).

Almost surely, 2^20133311100 is an apocalyptic number.

20133311100 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 20133311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966576000).

20133311100 is an abundant number, since it is smaller than the sum of its proper divisors (47799840900).

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

20133311100 is a wasteful number, since it uses less digits than its factorization.

20133311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195697 (or 195676 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 20133311100 its reverse (111333102), we get a palindrome (20244644202).

The spelling of 20133311100 in words is "twenty billion, one hundred thirty-three million, three hundred eleven thousand, one hundred".