21133312200 has 1152 divisors, whose sum is σ = 98176216320. Its totient is φ = 3931545600.

The previous prime is 21133312183. The next prime is 21133312241. The reversal of 21133312200 is 221333112.

21133312200 is a `hidden beast` number, since 2 + 113 + 331 + 220 + 0 = 666.

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

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, 66666442 + ... + 66666758.

It is an arithmetic number, because the mean of its divisors is an integer number (85222410).

Almost surely, 2^21133312200 is an apocalyptic number.

21133312200 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 21133312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088108160).

21133312200 is an abundant number, since it is smaller than the sum of its proper divisors (77042904120).

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

21133312200 is a wasteful number, since it uses less digits than its factorization.

21133312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

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

Adding to 21133312200 its reverse (221333112), we get a palindrome (21354645312).

It can be divided in two parts, 21133 and 312200, that added together give a palindrome (333333).

The spelling of 21133312200 in words is "twenty-one billion, one hundred thirty-three million, three hundred twelve thousand, two hundred".