21330113310100 has 216 divisors, whose sum is σ = 55171685036160. Its totient is φ = 7132853952000.

The previous prime is 21330113310019. The next prime is 21330113310137. The reversal of 21330113310100 is 101331103312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 858031471 + ... + 858056329.

It is an arithmetic number, because the mean of its divisors is an integer number (255424467760).

Almost surely, 2^{21330113310100} is an apocalyptic number.

21330113310100 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 21330113310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585842518080).

21330113310100 is an abundant number, since it is smaller than the sum of its proper divisors (33841571726060).

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

21330113310100 is a wasteful number, since it uses less digits than its factorization.

21330113310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29199 (or 29185 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 21330113310100 its reverse (101331103312), we get a palindrome (21431444413412).

The spelling of 21330113310100 in words is "twenty-one trillion, three hundred thirty billion, one hundred thirteen million, three hundred ten thousand, one hundred".