21133412300 has 432 divisors, whose sum is σ = 65747666880. Its totient is φ = 5717606400.

The previous prime is 21133412269. The next prime is 21133412329. The reversal of 21133412300 is 321433112.

It is a super-2 number, since 2×21133412300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 18718136 + ... + 18719264.

Almost surely, 2^21133412300 is an apocalyptic number.

21133412300 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 21133412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873833440).

21133412300 is an abundant number, since it is smaller than the sum of its proper divisors (44614254580).

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

21133412300 is a wasteful number, since it uses less digits than its factorization.

21133412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21133412300 its reverse (321433112), we get a palindrome (21454845412).

The spelling of 21133412300 in words is "twenty-one billion, one hundred thirty-three million, four hundred twelve thousand, three hundred".