Yes, there are many palindromic numbers that are not evenly divisible by 11 such as 181, 232, 454, 585, 10001, 17871, etc.
No.
No, 11 is the only palindromic prime with an even number of digits.
11
11
There are the same number: any twelve digit palindrome is just an eleven digit palindrome with its central digit repeated. In general, if we are considering numbers of n digits: For even values of n, the number of palindromes is 9 x 10n/2 - 1 For odd values of n, the number of palindromes is 9 x 10(n-1)/2
343 is the palindromic and cube number.7*7*7=3437 is being times three times by itself to get this palindromic and cube number.Also 1331 is a palindromic and cube number.11*11*11=133111 is being times three times by itself to get this palindromic and cube number.
No.
No, 11 is the only palindromic prime with an even number of digits.
11
11
11
11
11
There are the same number: any twelve digit palindrome is just an eleven digit palindrome with its central digit repeated. In general, if we are considering numbers of n digits: For even values of n, the number of palindromes is 9 x 10n/2 - 1 For odd values of n, the number of palindromes is 9 x 10(n-1)/2
11.11 Although if you restrict yourself to integers, the answer is 22
The only 2-didgit palindromic prime is 11.
11 is a palindrome.11 squared (i.e., 11 times 11) is 121, which is also a palindrome.