13005344000000 has 336 divisors, whose sum is σ = 35460966406320. Its totient is φ = 4729088000000.

The previous prime is 13005343999979. The next prime is 13005344000003. The reversal of 13005344000000 is 44350031.

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

It is not an unprimeable number, because it can be changed into a prime (13005344000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 351981527 + ... + 352018473.

It is an arithmetic number, because the mean of its divisors is an integer number (105538590495).

Almost surely, 2^{13005344000000} is an apocalyptic number.

13005344000000 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 13005344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730483203160).

13005344000000 is an abundant number, since it is smaller than the sum of its proper divisors (22455622406320).

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

13005344000000 is an frugal number, since it uses more digits than its factorization.

13005344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37010 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13005344000000 its reverse (44350031), we get a palindrome (13005388350031).

The spelling of 13005344000000 in words is "thirteen trillion, five billion, three hundred forty-four million", and thus it is an aban number.