13127 has 2 divisors, whose sum is σ = 13128. Its totient is φ = 13126.

The previous prime is 13121. The next prime is 13147. The reversal of 13127 is 72131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13127 - 2⁶ = 13063 is a prime.

It is a Chen prime.

It is equal to p₁₅₆₂ and since 13127 and 1562 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6563 + 6564.

It is an arithmetic number, because the mean of its divisors is an integer number (6564).

2¹³¹²⁷ is an apocalyptic number.

13127 is a deficient number, since it is larger than the sum of its proper divisors (1).

13127 is an equidigital number, since it uses as much as digits as its factorization.

13127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42, while the sum is 14.

The square root of 13127 is about 114.5731207570. The cubic root of 13127 is about 23.5896679852.

Adding to 13127 its reverse (72131), we get a palindrome (85258).

The spelling of 13127 in words is "thirteen thousand, one hundred twenty-seven".