21311332200 has 192 divisors, whose sum is σ = 74968416000. Its totient is φ = 5562040320.

The previous prime is 21311332193. The next prime is 21311332201. The reversal of 21311332200 is 223311312.

21311332200 is a `hidden beast` number, since 2 + 1 + 311 + 332 + 20 + 0 = 666.

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 (21311332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211816 + ... + 295784.

It is an arithmetic number, because the mean of its divisors is an integer number (390460500).

Almost surely, 2^21311332200 is an apocalyptic number.

21311332200 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 21311332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37484208000).

21311332200 is an abundant number, since it is smaller than the sum of its proper divisors (53657083800).

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

21311332200 is a wasteful number, since it uses less digits than its factorization.

21311332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84041 (or 84026 counting only the distinct ones).

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

Adding to 21311332200 its reverse (223311312), we get a palindrome (21534643512).

It can be divided in two parts, 2131 and 1332200, that added together give a palindrome (1334331).

The spelling of 21311332200 in words is "twenty-one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred".