21220013323300 has 144 divisors (see below), whose sum is σ = 50380493567040. Its totient is φ = 7693830144000.

The previous prime is 21220013323277. The next prime is 21220013323309. The reversal of 21220013323300 is 332331002212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21220013323309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545187840 + ... + 545226760.

It is an arithmetic number, because the mean of its divisors is an integer number (349864538660).

Almost surely, 2^{21220013323300} is an apocalyptic number.

21220013323300 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 21220013323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190246783520).

21220013323300 is an abundant number, since it is smaller than the sum of its proper divisors (29160480243740).

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

21220013323300 is a wasteful number, since it uses less digits than its factorization.

21220013323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40382 (or 40375 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21220013323300 its reverse (332331002212), we get a palindrome (21552344325512).

The spelling of 21220013323300 in words is "twenty-one trillion, two hundred twenty billion, thirteen million, three hundred twenty-three thousand, three hundred".