21332130133100 has 144 divisors (see below), whose sum is σ = 51058979516160. Its totient is φ = 7700554137600.

The previous prime is 21332130133099. The next prime is 21332130133103. The reversal of 21332130133100 is 133103123312.

It is a super-2 number, since 2×21332130133100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21332130133103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887492 + ... + 7601108.

It is an arithmetic number, because the mean of its divisors is an integer number (354576246640).

Almost surely, 2^{21332130133100} is an apocalyptic number.

21332130133100 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 21332130133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529489758080).

21332130133100 is an abundant number, since it is smaller than the sum of its proper divisors (29726849383060).

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

21332130133100 is a wasteful number, since it uses less digits than its factorization.

21332130133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713788 (or 3713781 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 21332130133100 its reverse (133103123312), we get a palindrome (21465233256412).

The spelling of 21332130133100 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred thirty million, one hundred thirty-three thousand, one hundred".