13333144 has 32 divisors (see below), whose sum is σ = 27555840. Its totient is φ = 5997600.

The previous prime is 13333121. The next prime is 13333147. The reversal of 13333144 is 44133331.

It is a happy number.

13333144 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (861120).

Almost surely, 2^13333144 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 13333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777920).

13333144 is an abundant number, since it is smaller than the sum of its proper divisors (14222696).

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

13333144 is a wasteful number, since it uses less digits than its factorization.

13333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1587 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 13333144 is about 3651.4577910747. The cubic root of 13333144 is about 237.1250978966.

Adding to 13333144 its reverse (44133331), we get a palindrome (57466475).

The spelling of 13333144 in words is "thirteen million, three hundred thirty-three thousand, one hundred forty-four".