13311441 has 24 divisors (see below), whose sum is σ = 22591296. Its totient is φ = 7446240.

The previous prime is 13311437. The next prime is 13311443. The reversal of 13311441 is 14411331.

13311441 = T₃₅₈ + T₃₅₉ + ... + T₅₀₀.

13311441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13311441 - 2² = 13311437 is a prime.

It is a super-2 number, since 2×13311441² = 354388922992962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3885 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (941304).

Almost surely, 2^13311441 is an apocalyptic number.

13311441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13311441 is a deficient number, since it is larger than the sum of its proper divisors (9279855).

13311441 is a wasteful number, since it uses less digits than its factorization.

13311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10370 counting only the distinct ones).

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

The square root of 13311441 is about 3648.4847539766. The cubic root of 13311441 is about 236.9963680477.

Adding to 13311441 its reverse (14411331), we get a palindrome (27722772).

It can be divided in two parts, 1331 and 1441, that added together give a palindrome (2772).

The spelling of 13311441 in words is "thirteen million, three hundred eleven thousand, four hundred forty-one".