13130013 has 8 divisors (see below), whose sum is σ = 18853408. Its totient is φ = 8079984.

The previous prime is 13130009. The next prime is 13130027. The reversal of 13130013 is 31003131.

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

It is not a de Polignac number, because 13130013 - 2² = 13130009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168295 + ... + 168372.

It is an arithmetic number, because the mean of its divisors is an integer number (2356676).

Almost surely, 2^13130013 is an apocalyptic number.

13130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13130013 is a deficient number, since it is larger than the sum of its proper divisors (5723395).

13130013 is a wasteful number, since it uses less digits than its factorization.

13130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336683.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13130013 is about 3623.5359802270. The cubic root of 13130013 is about 235.9147266852.

Adding to 13130013 its reverse (31003131), we get a palindrome (44133144).

The spelling of 13130013 in words is "thirteen million, one hundred thirty thousand, thirteen".