13211424 has 72 divisors (see below), whose sum is σ = 38984400. Its totient is φ = 4401216.

The previous prime is 13211423. The next prime is 13211437. The reversal of 13211424 is 42411231.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13211397 and 13211406.

It is not an unprimeable number, because it can be changed into a prime (13211423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6927 + ... + 8625.

It is an arithmetic number, because the mean of its divisors is an integer number (541450).

Almost surely, 2^13211424 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 13211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492200).

13211424 is an abundant number, since it is smaller than the sum of its proper divisors (25772976).

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

13211424 is an equidigital number, since it uses as much as digits as its factorization.

13211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1704 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13211424 is about 3634.7522611589. The cubic root of 13211424 is about 236.4013089675.

Adding to 13211424 its reverse (42411231), we get a palindrome (55622655).

The spelling of 13211424 in words is "thirteen million, two hundred eleven thousand, four hundred twenty-four".