21301133400 has 288 divisors, whose sum is σ = 72965568000. Its totient is φ = 5567927040.

The previous prime is 21301133387. The next prime is 21301133401. The reversal of 21301133400 is 433110312.

21301133400 is a `hidden beast` number, since 2 + 130 + 1 + 133 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301133401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23178141 + ... + 23179059.

Almost surely, 2^21301133400 is an apocalyptic number.

21301133400 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 21301133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36482784000).

21301133400 is an abundant number, since it is smaller than the sum of its proper divisors (51664434600).

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

21301133400 is a wasteful number, since it uses less digits than its factorization.

21301133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

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

Adding to 21301133400 its reverse (433110312), we get a palindrome (21734243712).

The spelling of 21301133400 in words is "twenty-one billion, three hundred one million, one hundred thirty-three thousand, four hundred".