21321122322330 has 192 divisors, whose sum is σ = 57684229843968. Its totient is φ = 5457950346240.

The previous prime is 21321122322317. The next prime is 21321122322341. The reversal of 21321122322330 is 3322322112312.

21321122322330 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 1 + 2 + 2 + 322 + 330 = 666.

It is a super-3 number, since 3×21321122322330³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21321122322294 and 21321122322303.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 524781477 + ... + 524822103.

It is an arithmetic number, because the mean of its divisors is an integer number (300438697104).

Almost surely, 2^{21321122322330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321122322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28842114921984).

21321122322330 is an abundant number, since it is smaller than the sum of its proper divisors (36363107521638).

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

21321122322330 is a wasteful number, since it uses less digits than its factorization.

21321122322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42181 (or 42178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21321122322330 its reverse (3322322112312), we get a palindrome (24643444434642).

It can be divided in two parts, 213211 and 22322330, that added together give a triangular number (22535541 = T₆₇₁₃).

The spelling of 21321122322330 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred thirty".