13191144 has 48 divisors (see below), whose sum is σ = 34507200. Its totient is φ = 4201824.

The previous prime is 13191103. The next prime is 13191169. The reversal of 13191144 is 44119131.

13191144 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12177 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (718900).

Almost surely, 2^13191144 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 13191144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253600).

13191144 is an abundant number, since it is smaller than the sum of its proper divisors (21316056).

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

13191144 is a wasteful number, since it uses less digits than its factorization.

13191144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1067 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 13191144 is about 3631.9614535399. The cubic root of 13191144 is about 236.2802855830.

The spelling of 13191144 in words is "thirteen million, one hundred ninety-one thousand, one hundred forty-four".