13130144120113 has 2 divisors, whose sum is σ = 13130144120114. Its totient is φ = 13130144120112.

The previous prime is 13130144120069. The next prime is 13130144120189. The reversal of 13130144120113 is 31102144103131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13029269913664 + 100874206449 = 3609608^2 + 317607^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130144120113 - 2¹³ = 13130144111921 is a prime.

It is a super-2 number, since 2×13130144120113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13130144120713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565072060056 + 6565072060057.

It is an arithmetic number, because the mean of its divisors is an integer number (6565072060057).

Almost surely, 2^{13130144120113} is an apocalyptic number.

It is an amenable number.

13130144120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130144120113 is an equidigital number, since it uses as much as digits as its factorization.

13130144120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13130144120113 its reverse (31102144103131), we get a palindrome (44232288223244).

The spelling of 13130144120113 in words is "thirteen trillion, one hundred thirty billion, one hundred forty-four million, one hundred twenty thousand, one hundred thirteen".