13105127 has 8 divisors (see below), whose sum is σ = 15062400. Its totient is φ = 11169144.

The previous prime is 13105123. The next prime is 13105159. The reversal of 13105127 is 72150131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13105127 - 2² = 13105123 is a prime.

It is a super-2 number, since 2×13105127² = 343488707372258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13105099 and 13105108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3977 + ... + 6482.

It is an arithmetic number, because the mean of its divisors is an integer number (1882800).

Almost surely, 2^13105127 is an apocalyptic number.

13105127 is a deficient number, since it is larger than the sum of its proper divisors (1957273).

13105127 is a wasteful number, since it uses less digits than its factorization.

13105127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 13105127 is about 3620.1004129720. The cubic root of 13105127 is about 235.7655852490.

Adding to 13105127 its reverse (72150131), we get a palindrome (85255258).

The spelling of 13105127 in words is "thirteen million, one hundred five thousand, one hundred twenty-seven".