13144401100 has 144 divisors (see below), whose sum is σ = 30363681600. Its totient is φ = 4928901120.

The previous prime is 13144401091. The next prime is 13144401161. The reversal of 13144401100 is 110444131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32137696 + ... + 32138104.

It is an arithmetic number, because the mean of its divisors is an integer number (210858900).

Almost surely, 2^13144401100 is an apocalyptic number.

13144401100 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 13144401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181840800).

13144401100 is an abundant number, since it is smaller than the sum of its proper divisors (17219280500).

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

13144401100 is a wasteful number, since it uses less digits than its factorization.

13144401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13144401100 its reverse (110444131), we get a palindrome (13254845231).

The spelling of 13144401100 in words is "thirteen billion, one hundred forty-four million, four hundred one thousand, one hundred".