We'll write the rule of division with reminder:
D=dividend, d-divisor, q-quotient, r-reminder
Let's suppose that our natural number is x.
We notice that we have the common factor 3, which we'll draw out and we'll rewite the expression above:
It's more than clear that nor 3, either paranthesis, are not 11's divisor, so the conclusion is that it doesn't exist a natural number to have the properties enunciated above!