13222021000 has 64 divisors (see below), whose sum is σ = 30970396080. Its totient is φ = 5283532800.

The previous prime is 13222020989. The next prime is 13222021013. The reversal of 13222021000 is 12022231.

It can be written as a sum of positive squares in 8 ways, for example, as 537405124 + 12684615876 = 23182^2 + 112626^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086952 + ... + 1099048.

Almost surely, 2^13222021000 is an apocalyptic number.

13222021000 is a gapful number since it is divisible by the number (10) 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 13222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485198040).

13222021000 is an abundant number, since it is smaller than the sum of its proper divisors (17748375080).

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

13222021000 is a wasteful number, since it uses less digits than its factorization.

13222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13222021000 its reverse (12022231), we get a palindrome (13234043231).

The spelling of 13222021000 in words is "thirteen billion, two hundred twenty-two million, twenty-one thousand".