13130232132013 has 2 divisors, whose sum is σ = 13130232132014. Its totient is φ = 13130232132012.

The previous prime is 13130232131993. The next prime is 13130232132079. The reversal of 13130232132013 is 31023123203131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9438677051049 + 3691555080964 = 3072243^2 + 1921342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13130232132013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130232132113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565116066006 + 6565116066007.

It is an arithmetic number, because the mean of its divisors is an integer number (6565116066007).

Almost surely, 2^{13130232132013} is an apocalyptic number.

It is an amenable number.

13130232132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130232132013 is an equidigital number, since it uses as much as digits as its factorization.

13130232132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13130232132013 its reverse (31023123203131), we get a palindrome (44153355335144).

The spelling of 13130232132013 in words is "thirteen trillion, one hundred thirty billion, two hundred thirty-two million, one hundred thirty-two thousand, thirteen".