
    In a delivery route management system, given a route identifier number, find the next available palindromic route ID that is greater than the current one to ensure symmetric zone coverage and efficient bi-directional mapping. The new route ID must be the smallest possible palindrome greater than the input number to maintain optimal route distribution.
    

    
import sys

def next_smallest_palindrome(num):
    """
    In a delivery route management system, given a route identifier number, find the next available palindromic route ID that is greater than the current one to ensure symmetric zone coverage and efficient bi-directional mapping. The new route ID must be the smallest possible palindrome greater than the input number to maintain optimal route distribution.
    

    """
import sys

def next_smallest_palindrome(num):
    """
    In a delivery route management system, given a route identifier number, find the next available palindromic route ID that is greater than the current one to ensure symmetric zone coverage and efficient bi-directional mapping. The new route ID must be the smallest possible palindrome greater than the input number to maintain optimal route distribution.
    

    """
    numstr = str(num)
    for i in range(num + 1, sys.maxsize):
        if str(i) == str(i)[::-1]:
            return i