21013133200 has 120 divisors (see below), whose sum is σ = 53111779200. Its totient is φ = 7977607680.

The previous prime is 21013133191. The next prime is 21013133209. The reversal of 21013133200 is 233131012.

It is an interprime number because it is at equal distance from previous prime (21013133191) and next prime (21013133209).

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

It is not an unprimeable number, because it can be changed into a prime (21013133209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669049 + ... + 699751.

It is an arithmetic number, because the mean of its divisors is an integer number (442598160).

Almost surely, 2^21013133200 is an apocalyptic number.

21013133200 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 21013133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26555889600).

21013133200 is an abundant number, since it is smaller than the sum of its proper divisors (32098646000).

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

21013133200 is a wasteful number, since it uses less digits than its factorization.

21013133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30798 counting only the distinct ones).

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

Adding to 21013133200 its reverse (233131012), we get a palindrome (21246264212).

The spelling of 21013133200 in words is "twenty-one billion, thirteen million, one hundred thirty-three thousand, two hundred".