13130113 has 2 divisors, whose sum is σ = 13130114. Its totient is φ = 13130112.

The previous prime is 13130087. The next prime is 13130119. The reversal of 13130113 is 31103131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8832784 + 4297329 = 2972^2 + 2073^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130113 - 2¹³ = 13121921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130093 and 13130102.

It is not a weakly prime, because it can be changed into another prime (13130119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565056 + 6565057.

It is an arithmetic number, because the mean of its divisors is an integer number (6565057).

Almost surely, 2^13130113 is an apocalyptic number.

It is an amenable number.

13130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130113 is an equidigital number, since it uses as much as digits as its factorization.

13130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13130113 is about 3623.5497788771. The cubic root of 13130113 is about 235.9153256034.

Adding to 13130113 its reverse (31103131), we get a palindrome (44233244).

The spelling of 13130113 in words is "thirteen million, one hundred thirty thousand, one hundred thirteen".