13231320112013 has 2 divisors, whose sum is σ = 13231320112014. Its totient is φ = 13231320112012.

The previous prime is 13231320111979. The next prime is 13231320112067. The reversal of 13231320112013 is 31021102313231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6918699036964 + 6312621075049 = 2630342^2 + 2512493^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231320112013 - 2¹² = 13231320107917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13231320112013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13231320112093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6615660056006 + 6615660056007.

It is an arithmetic number, because the mean of its divisors is an integer number (6615660056007).

Almost surely, 2^{13231320112013} is an apocalyptic number.

It is an amenable number.

13231320112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231320112013 is an equidigital number, since it uses as much as digits as its factorization.

13231320112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13231320112013 its reverse (31021102313231), we get a palindrome (44252422425244).

The spelling of 13231320112013 in words is "thirteen trillion, two hundred thirty-one billion, three hundred twenty million, one hundred twelve thousand, thirteen".