21113301300 has 864 divisors, whose sum is σ = 83086432128. Its totient is φ = 4087480320.

The previous prime is 21113301281. The next prime is 21113301337. The reversal of 21113301300 is 310331112.

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 21113301300.

It is a congruent number.

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, 217662852 + ... + 217662948.

It is an arithmetic number, because the mean of its divisors is an integer number (96164852).

Almost surely, 2^21113301300 is an apocalyptic number.

21113301300 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 21113301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41543216064).

21113301300 is an abundant number, since it is smaller than the sum of its proper divisors (61973130828).

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

21113301300 is a wasteful number, since it uses less digits than its factorization.

21113301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

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

Adding to 21113301300 its reverse (310331112), we get a palindrome (21423632412).

The spelling of 21113301300 in words is "twenty-one billion, one hundred thirteen million, three hundred one thousand, three hundred".