13007128 has 16 divisors (see below), whose sum is σ = 25048080. Its totient is φ = 6327648.

The previous prime is 13007123. The next prime is 13007143. The reversal of 13007128 is 82170031.

It is a junction number, because it is equal to n+sod(n) for n = 13007099 and 13007108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21676 + ... + 22267.

It is an arithmetic number, because the mean of its divisors is an integer number (1565505).

Almost surely, 2^13007128 is an apocalyptic number.

It is an amenable number.

13007128 is a deficient number, since it is larger than the sum of its proper divisors (12040952).

13007128 is a wasteful number, since it uses less digits than its factorization.

13007128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43986 (or 43982 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13007128 is about 3606.5396157536. The cubic root of 13007128 is about 235.1764360831.

Adding to 13007128 its reverse (82170031), we get a palindrome (95177159).

The spelling of 13007128 in words is "thirteen million, seven thousand, one hundred twenty-eight".