13006128 has 20 divisors (see below), whose sum is σ = 33599288. Its totient is φ = 4335360.

The previous prime is 13006121. The next prime is 13006153. The reversal of 13006128 is 82160031.

It is not an unprimeable number, because it can be changed into a prime (13006121) 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, 135433 + ... + 135528.

Almost surely, 2^13006128 is an apocalyptic number.

It is an amenable number.

13006128 is an abundant number, since it is smaller than the sum of its proper divisors (20593160).

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

13006128 is a wasteful number, since it uses less digits than its factorization.

13006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270972 (or 270966 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13006128 is about 3606.4009760425. The cubic root of 13006128 is about 235.1704090682.

Adding to 13006128 its reverse (82160031), we get a palindrome (95166159).

The spelling of 13006128 in words is "thirteen million, six thousand, one hundred twenty-eight".