13112321033137 has 2 divisors, whose sum is σ = 13112321033138. Its totient is φ = 13112321033136.

The previous prime is 13112321033129. The next prime is 13112321033143. The reversal of 13112321033137 is 73133012321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8278285594401 + 4834035438736 = 2877201^2 + 2198644^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112321033137 - 2³ = 13112321033129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112321033099 and 13112321033108.

It is not a weakly prime, because it can be changed into another prime (13112321033197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556160516568 + 6556160516569.

It is an arithmetic number, because the mean of its divisors is an integer number (6556160516569).

Almost surely, 2^{13112321033137} is an apocalyptic number.

It is an amenable number.

13112321033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112321033137 is an equidigital number, since it uses as much as digits as its factorization.

13112321033137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 13112321033137 its reverse (73133012321131), we get a palindrome (86245333354268).

The spelling of 13112321033137 in words is "thirteen trillion, one hundred twelve billion, three hundred twenty-one million, thirty-three thousand, one hundred thirty-seven".