13117013 has 32 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 9538560.

The previous prime is 13117003. The next prime is 13117031. The reversal of 13117013 is 31071131.

It is a cyclic number.

It is not a de Polignac number, because 13117013 - 2⁴ = 13116997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13116982 and 13117000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94298 + ... + 94436.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^13117013 is an apocalyptic number.

13117013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13117013 is a deficient number, since it is larger than the sum of its proper divisors (4381867).

13117013 is a wasteful number, since it uses less digits than its factorization.

13117013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 13117013 is about 3621.7417080736. The cubic root of 13117013 is about 235.8368414061.

Adding to 13117013 its reverse (31071131), we get a palindrome (44188144).

The spelling of 13117013 in words is "thirteen million, one hundred seventeen thousand, thirteen".