How to solve the issue of not enough memory in C++ when vector's size is too large?

To test if two vectors are the same or not

See code below

#include <iostream>
#include <vector>
#include <string>
int main(void) {
    std::vector<std::string> vstr1(131, "asdf");
    std::vector<std::string> vstr2(33131, "asdf");

    std::cout << (vstr1 == vstr2) << std::endl;;
    std::cout << "******************************" << std::endl;

    return 0;
}

It works fine.

Now I change the size of vstr2 to be extremely large, like 33333333333131

#include <iostream>
#include <vector>
#include <string>
int main(void) {
    std::vector<std::string> vstr1(131, "asdf");
    std::vector<std::string> vstr2(33333333333131, "asdf");

    std::cout << (vstr1 == vstr2) << std::endl;;
    std::cout << "******************************" << std::endl;

    return 0;
}

Not working, and error message is

terminate called after throwing an instance of 'std::bad_alloc' 
what()  std::bad_alloc
Aborted    (core dumped)     a.out

I have gathered the error occurs due to memory allocation failure.

What can I do to deal with vector of really large size ?