13223330100 has 216 divisors, whose sum is σ = 44039082360. Its totient is φ = 3312368640.

The previous prime is 13223330077. The next prime is 13223330111. The reversal of 13223330100 is 103332231.

13223330100 is a `hidden beast` number, since 1 + 322 + 3 + 330 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 86044176 + 13137285924 = 9276^2 + 114618^2 .

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 958854 + ... + 972546.

Almost surely, 2^13223330100 is an apocalyptic number.

13223330100 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 13223330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019541180).

13223330100 is an abundant number, since it is smaller than the sum of its proper divisors (30815752260).

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

13223330100 is a wasteful number, since it uses less digits than its factorization.

13223330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223330100 its reverse (103332231), we get a palindrome (13326662331).

The spelling of 13223330100 in words is "thirteen billion, two hundred twenty-three million, three hundred thirty thousand, one hundred".