Question

Give the smallest prime of a 10 digit number and it should also be a palindrome.

Answer 1

A 10 digit number (and Palindrome) is in the form:
(a, b, c, d, e are digits. a is not 0.).

N = a b c d e e d c b a .

If we reverse the order of digits, we get the same number N. So it is a Palindrome too.

Sum of odd placed digits = a+c+e+d+b.
Sum of even placed digits = b+d+e+c+a

As the difference between the sums is 0, the number is divisible by 11.

So there is no 10 digit prime number that is a palindrome.
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If you wish to see some prime numbers of 10 digits: 1,000,000,007; 1,000,000,009:; 1,000,000,21;

Largest nine digit prime number is 999,999,937. This is the 50 million 847 thousand 534 th prime number.

Answer 2

a palindrome is a word or phrase or number which is read or spelt the same from left to right or right to left

but there is no 10 digit prime number which is a palindrome.

examples of palindromic numbers are 1324554231, 2345665432, etc.

prime numbers include 1000000007, 1000000009, etc.