21133102000 has 80 divisors (see below), whose sum is σ = 51295413312. Its totient is φ = 8420889600.

The previous prime is 21133101991. The next prime is 21133102009. The reversal of 21133102000 is 20133112.

It is an interprime number because it is at equal distance from previous prime (21133101991) and next prime (21133102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21133102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505912 + ... + 546088.

Almost surely, 2^21133102000 is an apocalyptic number.

21133102000 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 21133102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25647706656).

21133102000 is an abundant number, since it is smaller than the sum of its proper divisors (30162311312).

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

21133102000 is a wasteful number, since it uses less digits than its factorization.

21133102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40463 (or 40447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21133102000 its reverse (20133112), we get a palindrome (21153235112).

The spelling of 21133102000 in words is "twenty-one billion, one hundred thirty-three million, one hundred two thousand".