20113033001100 has 864 divisors, whose sum is σ = 70783529564160. Its totient is φ = 4372682096640.

The previous prime is 20113033001071. The next prime is 20113033001179. The reversal of 20113033001100 is 110033031102.

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 20113033001100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1373927581 + ... + 1373942219.

It is an arithmetic number, because the mean of its divisors is an integer number (81925381440).

Almost surely, 2^{20113033001100} is an apocalyptic number.

20113033001100 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 20113033001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35391764782080).

20113033001100 is an abundant number, since it is smaller than the sum of its proper divisors (50670496563060).

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

20113033001100 is a wasteful number, since it uses less digits than its factorization.

20113033001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14755 counting only the distinct ones).

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

Adding to 20113033001100 its reverse (110033031102), we get a palindrome (20223066032202).

The spelling of 20113033001100 in words is "twenty trillion, one hundred thirteen billion, thirty-three million, one thousand, one hundred".