21333013130100 has 864 divisors, whose sum is σ = 77647199011200. Its totient is φ = 4491752079360.

The previous prime is 21333013130081. The next prime is 21333013130113. The reversal of 21333013130100 is 103131033312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6185273176 + ... + 6185276624.

It is an arithmetic number, because the mean of its divisors is an integer number (89869443300).

Almost surely, 2^{21333013130100} is an apocalyptic number.

21333013130100 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 21333013130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38823599505600).

21333013130100 is an abundant number, since it is smaller than the sum of its proper divisors (56314185881100).

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

21333013130100 is a wasteful number, since it uses less digits than its factorization.

21333013130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 21333013130100 its reverse (103131033312), we get a palindrome (21436144163412).

The spelling of 21333013130100 in words is "twenty-one trillion, three hundred thirty-three billion, thirteen million, one hundred thirty thousand, one hundred".