In DD/MM/YYYY the digits are day, month, then year — so the date is a palindrome exactly when the day mirrors the end of the year and the month mirrors the start. That constraint is solvable, which is why the tool can scan forward and hand you the next match (for a date in 2026 the next one is 3 February 2030) instead of guessing. Each format is tested independently, so one calendar date can be a palindrome in one order and ordinary in another.
Also useful: On This Day, Unix Timestamp Converter, and ISO Week Number Calculator.