13311344000 has 192 divisors, whose sum is σ = 33806635200. Its totient is φ = 5212390400.

The previous prime is 13311343999. The next prime is 13311344009. The reversal of 13311344000 is 44311331.

13311344000 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311344009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55695881 + ... + 55696119.

It is an arithmetic number, because the mean of its divisors is an integer number (176076225).

Almost surely, 2^13311344000 is an apocalyptic number.

13311344000 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 13311344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16903317600).

13311344000 is an abundant number, since it is smaller than the sum of its proper divisors (20495291200).

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

13311344000 is an frugal number, since it uses more digits than its factorization.

13311344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13311344000 its reverse (44311331), we get a palindrome (13355655331).

The spelling of 13311344000 in words is "thirteen billion, three hundred eleven million, three hundred forty-four thousand".