11131344 has 120 divisors (see below), whose sum is σ = 37011520. Its totient is φ = 3172608.

The previous prime is 11131327. The next prime is 11131349. The reversal of 11131344 is 44313111.

11131344 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 (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27012 + ... + 27420.

Almost surely, 2^11131344 is an apocalyptic number.

11131344 is a gapful number since it is divisible by the number (14) 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 11131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505760).

11131344 is an abundant number, since it is smaller than the sum of its proper divisors (25880176).

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

11131344 is an equidigital number, since it uses as much as digits as its factorization.

11131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 11131344 is about 3336.3668863001. The cubic root of 11131344 is about 223.2796801884.

Adding to 11131344 its reverse (44313111), we get a palindrome (55444455).

The spelling of 11131344 in words is "eleven million, one hundred thirty-one thousand, three hundred forty-four".