21133324410 has 384 divisors, whose sum is σ = 62048934144. Its totient is φ = 4562288640.

The previous prime is 21133324363. The next prime is 21133324469. The reversal of 21133324410 is 1442333112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187020514 + ... + 187020626.

It is an arithmetic number, because the mean of its divisors is an integer number (161585766).

Almost surely, 2^21133324410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133324410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31024467072).

21133324410 is an abundant number, since it is smaller than the sum of its proper divisors (40915609734).

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

21133324410 is a wasteful number, since it uses less digits than its factorization.

21133324410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21133324410 its reverse (1442333112), we get a palindrome (22575657522).

It can be divided in two parts, 21133 and 324410, that added together give a palindrome (345543).

The spelling of 21133324410 in words is "twenty-one billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred ten".