20013003331100 has 288 divisors, whose sum is σ = 47439743662080. Its totient is φ = 7284443765760.

The previous prime is 20013003331091. The next prime is 20013003331121. The reversal of 20013003331100 is 113330031002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15359173049 + ... + 15359174351.

It is an arithmetic number, because the mean of its divisors is an integer number (164721332160).

Almost surely, 2^{20013003331100} is an apocalyptic number.

20013003331100 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 20013003331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23719871831040).

20013003331100 is an abundant number, since it is smaller than the sum of its proper divisors (27426740330980).

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

20013003331100 is a wasteful number, since it uses less digits than its factorization.

20013003331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 20013003331100 its reverse (113330031002), we get a palindrome (20126333362102).

The spelling of 20013003331100 in words is "twenty trillion, thirteen billion, three million, three hundred thirty-one thousand, one hundred".