13244120100 has 108 divisors (see below), whose sum is σ = 41661487140. Its totient is φ = 3519129600.

The previous prime is 13244120089. The next prime is 13244120117. The reversal of 13244120100 is 102144231.

It can be written as a sum of positive squares in 6 ways, for example, as 50381604 + 13193738496 = 7098^2 + 114864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226716 + ... + 279084.

Almost surely, 2^13244120100 is an apocalyptic number.

13244120100 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 13244120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830743570).

13244120100 is an abundant number, since it is smaller than the sum of its proper divisors (28417367040).

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

13244120100 is a wasteful number, since it uses less digits than its factorization.

13244120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52670 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13244120100 its reverse (102144231), we get a palindrome (13346264331).

The spelling of 13244120100 in words is "thirteen billion, two hundred forty-four million, one hundred twenty thousand, one hundred".