Palindrome of a number

As all knows palindrome is a symmetric number.Numbers like 121,222 etc , But numbers like 123, 231 etc are not palindrome.  Palindrome number can be created by using a any number by adding a number and its the reverse of the number 

   like in the case of 103

   103

  +301

  --------

    404

which is a palindrome , but it is not true in the case of most of the numbers.

consider the case

    381

  +183

  --------

    564

564 is not a palindrome,  a palindrome number can be made by repeated addition of the output of the sum and  its reverse

   564

 +465

 --------

   1029

  1029

 +9201

----------

10230

10230

+03201

----------

13431

which is a palindrome