13005127 has 2 divisors, whose sum is σ = 13005128. Its totient is φ = 13005126.

The previous prime is 13005121. The next prime is 13005131. The reversal of 13005127 is 72150031.

13005127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13005127 is a prime.

It is a super-2 number, since 2×13005127² = 338266656572258, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502563 + 6502564.

It is an arithmetic number, because the mean of its divisors is an integer number (6502564).

Almost surely, 2^13005127 is an apocalyptic number.

13005127 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005127 is an equidigital number, since it uses as much as digits as its factorization.

13005127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 13005127 is about 3606.2621923537. The cubic root of 13005127 is about 235.1643757169.

Adding to 13005127 its reverse (72150031), we get a palindrome (85155158).

The spelling of 13005127 in words is "thirteen million, five thousand, one hundred twenty-seven".