21131333200 has 180 divisors, whose sum is σ = 54963530100. Its totient is φ = 7802961920.

The previous prime is 21131333173. The next prime is 21131333207. The reversal of 21131333200 is 233313112.

It can be written as a sum of positive squares in 18 ways, for example, as 12428682256 + 8702650944 = 111484^2 + 93288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131333207) 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, 6125076 + ... + 6128524.

It is an arithmetic number, because the mean of its divisors is an integer number (305352945).

Almost surely, 2^21131333200 is an apocalyptic number.

21131333200 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 21131333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27481765050).

21131333200 is an abundant number, since it is smaller than the sum of its proper divisors (33832196900).

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

21131333200 is a wasteful number, since it uses less digits than its factorization.

21131333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 21131333200 its reverse (233313112), we get a palindrome (21364646312).

The spelling of 21131333200 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred".