Description:
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Tested on php versions >= 5.6.
The lose equality result for '201905025815311.33' == '201905025815311.34' is true for some reason i cannot identify. Needless to say using using the === operator fixes the issue.

But the result for me is strange. Those strings are probably stored as floats in memory because they have a perfect valid float format. But the float comparison for 201905025815311.33 == 201905025815311.34 fails as well(evaluates to true).

Even if the numbers are rounded, it does not explain how can give the right result for 201905025815311.33 == 201905025815311.32 which should have the same "rounding" rules as 201905025815311.33 == 201905025815311.34. Maybe the 1.33 ending is the problem, but does not ring a bell to me from a mathematical perspective.

Dumping the PHP_FLOAT_MAX constant on php versions that have it (7.2+) suggest that php should not have any trouble working with these numbers.

Test script:
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var_dump('201905025815311.33' == '201905025815311.34');
var_dump('201905025815311.33' == '201905025815311.32');
var_dump(201905025815311.33 == 201905025815311.34);
var_dump(201905025815311.33 == 201905025815311.32);
var_dump(201905025815311.32);
var_dump(201905025815311.33);
var_dump(201905025815311.34);
var_dump(PHP_FLOAT_MAX);

Expected result:
----------------
bool(false)
bool(false)
bool(false)
bool(false)
float(2.0190502581531E+14)
float(2.0190502581531E+14)
float(2.0190502581531E+14)
float(1.7976931348623E+308)

Actual result:
--------------
bool(true)
bool(false)
bool(true)
bool(false)
float(2.0190502581531E+14)
float(2.0190502581531E+14)
float(2.0190502581531E+14)
float(1.7976931348623E+308)