21133121003221 has 8 divisors (see below), whose sum is σ = 21372776507160. Its totient is φ = 20893514492928.

The previous prime is 21133121003213. The next prime is 21133121003227. The reversal of 21133121003221 is 12230012133112.

It can be written as a sum of positive squares in 4 ways, for example, as 489319836196 + 20643801167025 = 699514^2 + 4543545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21133121003221 - 2³ = 21133121003213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21133121003192 and 21133121003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133121003227) 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 7 ways as a sum of consecutive naturals, for example, 11380486 + ... + 13106551.

It is an arithmetic number, because the mean of its divisors is an integer number (2671597063395).

Almost surely, 2^{21133121003221} is an apocalyptic number.

It is an amenable number.

21133121003221 is a deficient number, since it is larger than the sum of its proper divisors (239655503939).

21133121003221 is an equidigital number, since it uses as much as digits as its factorization.

21133121003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496823.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21133121003221 its reverse (12230012133112), we get a palindrome (33363133136333).

The spelling of 21133121003221 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred twenty-one million, three thousand, two hundred twenty-one".