13133824 has 72 divisors (see below), whose sum is σ = 29410290. Its totient is φ = 5857280.

The previous prime is 13133803. The next prime is 13133867. The reversal of 13133824 is 42833131.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 3097600 = 3168^2 + 1760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247782 + ... + 247834.

Almost surely, 2^13133824 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 13133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705145).

13133824 is an abundant number, since it is smaller than the sum of its proper divisors (16276466).

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

13133824 is an equidigital number, since it uses as much as digits as its factorization.

13133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 13133824 is about 3624.0618096274. The cubic root of 13133824 is about 235.9375493092.

Adding to 13133824 its reverse (42833131), we get a palindrome (55966955).

The spelling of 13133824 in words is "thirteen million, one hundred thirty-three thousand, eight hundred twenty-four".