21133212300 has 216 divisors, whose sum is σ = 68249965056. Its totient is φ = 5465594880.

The previous prime is 21133212277. The next prime is 21133212313. The reversal of 21133212300 is 321233112.

21133212300 is a `hidden beast` number, since 2 + 113 + 321 + 230 + 0 = 666.

It is a super-2 number, since 2×21133212300² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12753072 + ... + 12754728.

Almost surely, 2^21133212300 is an apocalyptic number.

21133212300 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 21133212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124982528).

21133212300 is an abundant number, since it is smaller than the sum of its proper divisors (47116752756).

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

21133212300 is a wasteful number, since it uses less digits than its factorization.

21133212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

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

Adding to 21133212300 its reverse (321233112), we get a palindrome (21454445412).

The spelling of 21133212300 in words is "twenty-one billion, one hundred thirty-three million, two hundred twelve thousand, three hundred".