21301331200 has 108 divisors (see below), whose sum is σ = 53317954620. Its totient is φ = 8424570880.

The previous prime is 21301331197. The next prime is 21301331201. The reversal of 21301331200 is 213310312.

It can be written as a sum of positive squares in 6 ways, for example, as 3584656384 + 17716674816 = 59872^2 + 133104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550902 + ... + 588298.

It is an arithmetic number, because the mean of its divisors is an integer number (493684765).

Almost surely, 2^21301331200 is an apocalyptic number.

21301331200 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 21301331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658977310).

21301331200 is an abundant number, since it is smaller than the sum of its proper divisors (32016623420).

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

21301331200 is an equidigital number, since it uses as much as digits as its factorization.

21301331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37512 (or 37493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21301331200 its reverse (213310312), we get a palindrome (21514641512).

The spelling of 21301331200 in words is "twenty-one billion, three hundred one million, three hundred thirty-one thousand, two hundred".