21321011322 has 80 divisors (see below), whose sum is σ = 51959770632. Its totient is φ = 6495292800.

The previous prime is 21321011321. The next prime is 21321011351. The reversal of 21321011322 is 22311012312.

21321011322 is a `hidden beast` number, since 21 + 321 + 0 + 1 + 1 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15647758281 + 5673253041 = 125091^2 + 75321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21321011295 and 21321011304.

It is not an unprimeable number, because it can be changed into a prime (21321011321) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 162588 + ... + 262824.

Almost surely, 2^21321011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979885316).

21321011322 is an abundant number, since it is smaller than the sum of its proper divisors (30638759310).

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

21321011322 is a wasteful number, since it uses less digits than its factorization.

21321011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100365 (or 100356 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21321011322 its reverse (22311012312), we get a palindrome (43632023634).

The spelling of 21321011322 in words is "twenty-one billion, three hundred twenty-one million, eleven thousand, three hundred twenty-two".