13231110144 has 288 divisors, whose sum is σ = 41678582400. Its totient is φ = 3721052160.

The previous prime is 13231110143. The next prime is 13231110169. The reversal of 13231110144 is 44101113231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13231110144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231110143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21374667 + ... + 21375285.

It is an arithmetic number, because the mean of its divisors is an integer number (144717300).

Almost surely, 2^13231110144 is an apocalyptic number.

13231110144 is a gapful number since it is divisible by the number (14) 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 13231110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839291200).

13231110144 is an abundant number, since it is smaller than the sum of its proper divisors (28447472256).

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

13231110144 is an equidigital number, since it uses as much as digits as its factorization.

13231110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13231110144 its reverse (44101113231), we get a palindrome (57332223375).

The spelling of 13231110144 in words is "thirteen billion, two hundred thirty-one million, one hundred ten thousand, one hundred forty-four".