
    Design a function that generates the next smallest palindromic loan application ID number from a given application ID, ensuring each processed loan maintains a traceable and verifiable identifier in the banking system's audit trail. The function must take the current loan application ID as input and return the next available palindromic number that is larger than the input ID. The returned ID must be a valid integer that reads the same forwards and backwards.
    

    
import sys

def next_smallest_palindrome(num):
    """
    Design a function that generates the next smallest palindromic loan application ID number from a given application ID, ensuring each processed loan maintains a traceable and verifiable identifier in the banking system's audit trail. The function must take the current loan application ID as input and return the next available palindromic number that is larger than the input ID. The returned ID must be a valid integer that reads the same forwards and backwards.
    

    """
import sys

def next_smallest_palindrome(num):
    """
    Design a function that generates the next smallest palindromic loan application ID number from a given application ID, ensuring each processed loan maintains a traceable and verifiable identifier in the banking system's audit trail. The function must take the current loan application ID as input and return the next available palindromic number that is larger than the input ID. The returned ID must be a valid integer that reads the same forwards and backwards.
    

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