113205107137 has 2 divisors, whose sum is σ = 113205107138. Its totient is φ = 113205107136.

The previous prime is 113205107083. The next prime is 113205107149. The reversal of 113205107137 is 731701502311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97188686001 + 16016421136 = 311751^2 + 126556^2 .

It is a cyclic number.

It is not a de Polignac number, because 113205107137 - 2¹¹ = 113205105089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113205107099 and 113205107108.

It is not a weakly prime, because it can be changed into another prime (113205107177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56602553568 + 56602553569.

It is an arithmetic number, because the mean of its divisors is an integer number (56602553569).

Almost surely, 2^113205107137 is an apocalyptic number.

It is an amenable number.

113205107137 is a deficient number, since it is larger than the sum of its proper divisors (1).

113205107137 is an equidigital number, since it uses as much as digits as its factorization.

113205107137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 113205107137 its reverse (731701502311), we get a palindrome (844906609448).

The spelling of 113205107137 in words is "one hundred thirteen billion, two hundred five million, one hundred seven thousand, one hundred thirty-seven".