20013331200000 has 576 divisors, whose sum is σ = 67179294000000. Its totient is φ = 5297786880000.

The previous prime is 20013331199929. The next prime is 20013331200077. The reversal of 20013331200000 is 213331002.

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

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, 2668796251 + ... + 2668803749.

It is an arithmetic number, because the mean of its divisors is an integer number (116630718750).

Almost surely, 2^{20013331200000} is an apocalyptic number.

20013331200000 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 20013331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589647000000).

20013331200000 is an abundant number, since it is smaller than the sum of its proper divisors (47165962800000).

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

20013331200000 is an frugal number, since it uses more digits than its factorization.

20013331200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20013331200000 its reverse (213331002), we get a palindrome (20013544531002).

The spelling of 20013331200000 in words is "twenty trillion, thirteen billion, three hundred thirty-one million, two hundred thousand".