13141224 has 64 divisors (see below), whose sum is σ = 36993600. Its totient is φ = 4321728.

The previous prime is 13141207. The next prime is 13141231. The reversal of 13141224 is 42214131.

It is a super-3 number, since 3×13141224³ (a number of 22 digits) contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 13141197 and 13141206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17562 + ... + 18294.

It is an arithmetic number, because the mean of its divisors is an integer number (578025).

Almost surely, 2^13141224 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 13141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496800).

13141224 is an abundant number, since it is smaller than the sum of its proper divisors (23852376).

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

13141224 is a wasteful number, since it uses less digits than its factorization.

13141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

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

The square root of 13141224 is about 3625.0826197481. The cubic root of 13141224 is about 235.9818524780.

Adding to 13141224 its reverse (42214131), we get a palindrome (55355355).

The spelling of 13141224 in words is "thirteen million, one hundred forty-one thousand, two hundred twenty-four".