13144340000 has 120 divisors (see below), whose sum is σ = 35277370128. Its totient is φ = 4779680000.

The previous prime is 13144339991. The next prime is 13144340017. The reversal of 13144340000 is 4344131.

It is a happy number.

13144340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190127 + ... + 249873.

Almost surely, 2^13144340000 is an apocalyptic number.

13144340000 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 13144340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638685064).

13144340000 is an abundant number, since it is smaller than the sum of its proper divisors (22133030128).

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

13144340000 is an equidigital number, since it uses as much as digits as its factorization.

13144340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59788 (or 59765 counting only the distinct ones).

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

Adding to 13144340000 its reverse (4344131), we get a palindrome (13148684131).

The spelling of 13144340000 in words is "thirteen billion, one hundred forty-four million, three hundred forty thousand".