13383144 has 80 divisors (see below), whose sum is σ = 39494400. Its totient is φ = 4222368.

The previous prime is 13383143. The next prime is 13383157. The reversal of 13383144 is 44138331.

13383144 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13383143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11769 + ... + 12855.

It is an arithmetic number, because the mean of its divisors is an integer number (493680).

Almost surely, 2^13383144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13383144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747200).

13383144 is an abundant number, since it is smaller than the sum of its proper divisors (26111256).

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

13383144 is a wasteful number, since it uses less digits than its factorization.

13383144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13383144 is about 3658.2979649012. The cubic root of 13383144 is about 237.4211387295.

The spelling of 13383144 in words is "thirteen million, three hundred eighty-three thousand, one hundred forty-four".