13007127 has 16 divisors (see below), whose sum is σ = 20305152. Its totient is φ = 7250880.

The previous prime is 13007123. The next prime is 13007143. The reversal of 13007127 is 72170031.

It is not a de Polignac number, because 13007127 - 2² = 13007123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6693 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (1269072).

Almost surely, 2^13007127 is an apocalyptic number.

13007127 is a deficient number, since it is larger than the sum of its proper divisors (7298025).

13007127 is a wasteful number, since it uses less digits than its factorization.

13007127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15158.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 13007127 is about 3606.5394771165. The cubic root of 13007127 is about 235.1764300563.

Adding to 13007127 its reverse (72170031), we get a palindrome (85177158).

The spelling of 13007127 in words is "thirteen million, seven thousand, one hundred twenty-seven".