13023024 has 100 divisors (see below), whose sum is σ = 39594936. Its totient is φ = 3687936.

The previous prime is 13023013. The next prime is 13023029. The reversal of 13023024 is 42032031.

13023024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13022994 and 13023012.

It is not an unprimeable number, because it can be changed into a prime (13023029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115192 + ... + 115304.

Almost surely, 2^13023024 is an apocalyptic number.

13023024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797468).

13023024 is an abundant number, since it is smaller than the sum of its proper divisors (26571912).

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

13023024 is an equidigital number, since it uses as much as digits as its factorization.

13023024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13023024 is about 3608.7427173463. The cubic root of 13023024 is about 235.2722000565.

Adding to 13023024 its reverse (42032031), we get a palindrome (55055055).

The spelling of 13023024 in words is "thirteen million, twenty-three thousand, twenty-four".