21130113200 has 180 divisors, whose sum is σ = 59249870712. Its totient is φ = 7220505600.

The previous prime is 21130113187. The next prime is 21130113203. The reversal of 21130113200 is 231103112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21130113203) 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 35 ways as a sum of consecutive naturals, for example, 6485972 + ... + 6489228.

Almost surely, 2^21130113200 is an apocalyptic number.

21130113200 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 21130113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29624935356).

21130113200 is an abundant number, since it is smaller than the sum of its proper divisors (38119757512).

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

21130113200 is a wasteful number, since it uses less digits than its factorization.

21130113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21130113200 its reverse (231103112), we get a palindrome (21361216312).

The spelling of 21130113200 in words is "twenty-one billion, one hundred thirty million, one hundred thirteen thousand, two hundred".