13000117 has 8 divisors (see below), whose sum is σ = 14052024. Its totient is φ = 11955648.

The previous prime is 13000081. The next prime is 13000133. The reversal of 13000117 is 71100031.

It can be written as a sum of positive squares in 4 ways, for example, as 5982916 + 7017201 = 2446^2 + 2649^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13000117 - 2⁷ = 12999989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

13000117 is a modest number, since divided by 117 gives 13 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13000097 and 13000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000177) 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, 2103 + ... + 5515.

It is an arithmetic number, because the mean of its divisors is an integer number (1756503).

Almost surely, 2^13000117 is an apocalyptic number.

It is an amenable number.

13000117 is a deficient number, since it is larger than the sum of its proper divisors (1051907).

13000117 is a wasteful number, since it uses less digits than its factorization.

13000117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 13000117 is about 3605.5675004082. The cubic root of 13000117 is about 235.1341741704.

Adding to 13000117 its reverse (71100031), we get a palindrome (84100148).

The spelling of 13000117 in words is "thirteen million, one hundred seventeen", and thus it is an aban number.