21213313200 has 180 divisors, whose sum is σ = 73725690480. Its totient is φ = 5648463360.

The previous prime is 21213313171. The next prime is 21213313207. The reversal of 21213313200 is 231331212.

21213313200 is a `hidden beast` number, since 2 + 12 + 1 + 331 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21213313207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2634781 + ... + 2642819.

Almost surely, 2^21213313200 is an apocalyptic number.

21213313200 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 21213313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36862845240).

21213313200 is an abundant number, since it is smaller than the sum of its proper divisors (52512377280).

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

21213313200 is a wasteful number, since it uses less digits than its factorization.

21213313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21213313200 its reverse (231331212), we get a palindrome (21444644412).

The spelling of 21213313200 in words is "twenty-one billion, two hundred thirteen million, three hundred thirteen thousand, two hundred".