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.
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There are more 12-digit palindromic numbers than 11-digit palindromic numbers. This is because the number of possible 12-digit palindromic numbers is greater than the number of possible 11-digit palindromic numbers. In general, the number of palindromic numbers of length n is 9 * 10^((n-1)/2), so for 11-digit palindromic numbers, there are 9 * 10^5 = 900,000 possibilities, while for 12-digit palindromic numbers, there are 9 * 10^6 = 9,000,000 possibilities.
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.
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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.
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