13112301144337 has 2 divisors, whose sum is σ = 13112301144338. Its totient is φ = 13112301144336.

The previous prime is 13112301144233. The next prime is 13112301144379. The reversal of 13112301144337 is 73344110321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12582315688336 + 529985456001 = 3547156^2 + 728001^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112301144337 - 2¹⁹ = 13112300620049 is a prime.

It is a super-3 number, since 3×13112301144337³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13112301144637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556150572168 + 6556150572169.

It is an arithmetic number, because the mean of its divisors is an integer number (6556150572169).

Almost surely, 2^{13112301144337} is an apocalyptic number.

It is an amenable number.

13112301144337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112301144337 is an equidigital number, since it uses as much as digits as its factorization.

13112301144337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 13112301144337 its reverse (73344110321131), we get a palindrome (86456411465468).

The spelling of 13112301144337 in words is "thirteen trillion, one hundred twelve billion, three hundred one million, one hundred forty-four thousand, three hundred thirty-seven".