13301424 has 60 divisors (see below), whose sum is σ = 37778832. Its totient is φ = 4368000.

The previous prime is 13301417. The next prime is 13301447. The reversal of 13301424 is 42410331.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301397 and 13301406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9574 + ... + 10874.

Almost surely, 2^13301424 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 13301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

13301424 is an abundant number, since it is smaller than the sum of its proper divisors (24477408).

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

13301424 is a wasteful number, since it uses less digits than its factorization.

13301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13301424 is about 3647.1117339615. Note that the first 3 decimals coincide. The cubic root of 13301424 is about 236.9369057062.

Adding to 13301424 its reverse (42410331), we get a palindrome (55711755).

The spelling of 13301424 in words is "thirteen million, three hundred one thousand, four hundred twenty-four".