21120334113300 has 288 divisors, whose sum is σ = 66464301012480. Its totient is φ = 5156530790400.

The previous prime is 21120334113289. The next prime is 21120334113323. The reversal of 21120334113300 is 331143302112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1635833845 + ... + 1635846755.

It is an arithmetic number, because the mean of its divisors is an integer number (230778822960).

Almost surely, 2^{21120334113300} is an apocalyptic number.

21120334113300 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 21120334113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33232150506240).

21120334113300 is an abundant number, since it is smaller than the sum of its proper divisors (45343966899180).

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

21120334113300 is a wasteful number, since it uses less digits than its factorization.

21120334113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21651 (or 21644 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21120334113300 its reverse (331143302112), we get a palindrome (21451477415412).

The spelling of 21120334113300 in words is "twenty-one trillion, one hundred twenty billion, three hundred thirty-four million, one hundred thirteen thousand, three hundred".