21333131100 has 108 divisors (see below), whose sum is σ = 67268392464. Its totient is φ = 5654730240.

The previous prime is 21333131063. The next prime is 21333131101. The reversal of 21333131100 is 113133312.

It is a happy number.

21333131100 is a `hidden beast` number, since 21 + 3 + 331 + 311 + 0 + 0 = 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 (21333131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79332 + ... + 221268.

Almost surely, 2^21333131100 is an apocalyptic number.

21333131100 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 21333131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33634196232).

21333131100 is an abundant number, since it is smaller than the sum of its proper divisors (45935261364).

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

21333131100 is a wasteful number, since it uses less digits than its factorization.

21333131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142124 (or 142114 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21333131100 its reverse (113133312), we get a palindrome (21446264412).

The spelling of 21333131100 in words is "twenty-one billion, three hundred thirty-three million, one hundred thirty-one thousand, one hundred".