13031230013 has 2 divisors, whose sum is σ = 13031230014. Its totient is φ = 13031230012.

The previous prime is 13031229961. The next prime is 13031230061. The reversal of 13031230013 is 31003213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8978889049 + 4052340964 = 94757^2 + 63658^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031230013 - 2¹⁶ = 13031164477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031229973 and 13031230000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13031230063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515615006 + 6515615007.

It is an arithmetic number, because the mean of its divisors is an integer number (6515615007).

Almost surely, 2^13031230013 is an apocalyptic number.

It is an amenable number.

13031230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031230013 is an equidigital number, since it uses as much as digits as its factorization.

13031230013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13031230013 its reverse (31003213031), we get a palindrome (44034443044).

The spelling of 13031230013 in words is "thirteen billion, thirty-one million, two hundred thirty thousand, thirteen".