13144300000000 has 324 divisors, whose sum is σ = 35322856914688. Its totient is φ = 4852800000000.

The previous prime is 13144299999991. The next prime is 13144300000001. The reversal of 13144300000000 is 344131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 13144300000000.

It is not an unprimeable number, because it can be changed into a prime (13144300000001) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1299994945 + ... + 1300005055.

Almost surely, 2^{13144300000000} is an apocalyptic number.

13144300000000 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 13144300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661428457344).

13144300000000 is an abundant number, since it is smaller than the sum of its proper divisors (22178556914688).

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

13144300000000 is an frugal number, since it uses more digits than its factorization.

13144300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13144300000000 its reverse (344131), we get a palindrome (13144300344131).

The spelling of 13144300000000 in words is "thirteen trillion, one hundred forty-four billion, three hundred million", and thus it is an aban number.