13444030100 has 72 divisors (see below), whose sum is σ = 31023123768. Its totient is φ = 5039411200.

The previous prime is 13444030073. The next prime is 13444030207. The reversal of 13444030100 is 103044431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3658072324 + 9785957776 = 60482^2 + 98924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379130 + ... + 413070.

It is an arithmetic number, because the mean of its divisors is an integer number (430876719).

Almost surely, 2^13444030100 is an apocalyptic number.

13444030100 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 13444030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511561884).

13444030100 is an abundant number, since it is smaller than the sum of its proper divisors (17579093668).

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

13444030100 is a wasteful number, since it uses less digits than its factorization.

13444030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34205 (or 34198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13444030100 its reverse (103044431), we get a palindrome (13547074531).

The spelling of 13444030100 in words is "thirteen billion, four hundred forty-four million, thirty thousand, one hundred".