13013824 has 14 divisors (see below), whose sum is σ = 25824434. Its totient is φ = 6506880.

The previous prime is 13013813. The next prime is 13013827. The reversal of 13013824 is 42831031.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 53824 = 3600^2 + 232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13013795 and 13013804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101607 + ... + 101734.

Almost surely, 2^13013824 is an apocalyptic number.

It is an amenable number.

13013824 is a deficient number, since it is larger than the sum of its proper divisors (12810610).

13013824 is an equidigital number, since it uses as much as digits as its factorization.

13013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203353 (or 203343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13013824 is about 3607.4678099742. The cubic root of 13013824 is about 235.2167850177.

Adding to 13013824 its reverse (42831031), we get a palindrome (55844855).

The spelling of 13013824 in words is "thirteen million, thirteen thousand, eight hundred twenty-four".