13222403244100 has 108 divisors (see below), whose sum is σ = 29417195008012. Its totient is φ = 5158612915200.

The previous prime is 13222403244067. The next prime is 13222403244101. The reversal of 13222403244100 is 144230422231.

It can be written as a sum of positive squares in 18 ways, for example, as 13081922207236 + 140481036864 = 3616894^2 + 374808^2 .

It is not an unprimeable number, because it can be changed into a prime (13222403244101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 853435954 + ... + 853451446.

Almost surely, 2^{13222403244100} is an apocalyptic number.

13222403244100 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 13222403244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708597504006).

13222403244100 is an abundant number, since it is smaller than the sum of its proper divisors (16194791763912).

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

13222403244100 is a wasteful number, since it uses less digits than its factorization.

13222403244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20618 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13222403244100 its reverse (144230422231), we get a palindrome (13366633666331).

The spelling of 13222403244100 in words is "thirteen trillion, two hundred twenty-two billion, four hundred three million, two hundred forty-four thousand, one hundred".