13222322100 has 432 divisors, whose sum is σ = 45977650992. Its totient is φ = 3158507520.

The previous prime is 13222322081. The next prime is 13222322111. The reversal of 13222322100 is 122322231.

13222322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 12700839204 + 521482896 = 112698^2 + 22836^2 .

It is a super-2 number, since 2×13222322100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96513232 + ... + 96513368.

Almost surely, 2^13222322100 is an apocalyptic number.

13222322100 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 13222322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988825496).

13222322100 is an abundant number, since it is smaller than the sum of its proper divisors (32755328892).

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

13222322100 is a wasteful number, since it uses less digits than its factorization.

13222322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13222322100 its reverse (122322231), we get a palindrome (13344644331).

The spelling of 13222322100 in words is "thirteen billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred".