216713202312137 has 2 divisors, whose sum is σ = 216713202312138. Its totient is φ = 216713202312136.

The previous prime is 216713202312119. The next prime is 216713202312181. The reversal of 216713202312137 is 731213202317612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203817195919936 + 12896006392201 = 14276456^2 + 3591101^2 .

It is a cyclic number.

It is not a de Polignac number, because 216713202312137 - 2¹⁴ = 216713202295753 is a prime.

It is a super-2 number, since 2×216713202312137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216713202312094 and 216713202312103.

It is not a weakly prime, because it can be changed into another prime (216713201312137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108356601156068 + 108356601156069.

It is an arithmetic number, because the mean of its divisors is an integer number (108356601156069).

Almost surely, 2^{216713202312137} is an apocalyptic number.

It is an amenable number.

216713202312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

216713202312137 is an equidigital number, since it uses as much as digits as its factorization.

216713202312137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 41.

Adding to 216713202312137 its reverse (731213202317612), we get a palindrome (947926404629749).

The spelling of 216713202312137 in words is "two hundred sixteen trillion, seven hundred thirteen billion, two hundred two million, three hundred twelve thousand, one hundred thirty-seven".