21133000 has 64 divisors (see below), whose sum is σ = 56534400. Its totient is φ = 7243200.

The previous prime is 21132983. The next prime is 21133003. The reversal of 21133000 is 33112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5491 + ... + 8509.

It is an arithmetic number, because the mean of its divisors is an integer number (883350).

Almost surely, 2^21133000 is an apocalyptic number.

21133000 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 21133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28267200).

21133000 is an abundant number, since it is smaller than the sum of its proper divisors (35401400).

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

21133000 is a wasteful number, since it uses less digits than its factorization.

21133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 21133000 is about 4597.0642806034. The cubic root of 21133000 is about 276.4736319000.

Adding to 21133000 its reverse (33112), we get a palindrome (21166112).

The spelling of 21133000 in words is "twenty-one million, one hundred thirty-three thousand".