13013024 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 5796864.

The previous prime is 13013023. The next prime is 13013027. The reversal of 13013024 is 42031031.

It is not an unprimeable number, because it can be changed into a prime (13013023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9707 + ... + 10965.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^13013024 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 13013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

13013024 is an abundant number, since it is smaller than the sum of its proper divisors (15563776).

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

13013024 is a wasteful number, since it uses less digits than its factorization.

13013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13013024 is about 3607.3569271698. The cubic root of 13013024 is about 235.2119650846.

Adding to 13013024 its reverse (42031031), we get a palindrome (55044055).

The spelling of 13013024 in words is "thirteen million, thirteen thousand, twenty-four".