If you wish to communicate information, I suggest you a 67-sided figure a 67-gon. Although there are prefices I suggest you keep it simple. Not only is the use of long and unfamiliar Greek prefices pretentious, you will only annoy the reader who will probably have to consult a dictionary. Names are used mainly for 3-12 sides and for 20.
Having said that, if you do want to be pretentious or obfuscate, you can use the link below for polygons with up to 999 sides.
http://faculty.kutztown.edu/schaeffe/Tutorials/General/Polygons.html
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3-sided4-sided6-sided3 sided, 4 sided, and 6 sided or in other words, triangles, squares, and hexagons.
Yes, a 13-sided polygon is called a tridecagon. It is a type of polygon with 13 sides and 13 angles. Each interior angle of a regular tridecagon measures approximately 152.31 degrees. Tridecagons are not as commonly studied or recognized as polygons with fewer sides, but they do exist mathematically.
There are many shapes that have fewer than 3 vertices like the circle, hyperbola, semi circle, and many others. However if you are only talking about polygons then there is no actual shape with fewer than 3 vertices that you can find in a real life situation but they do have names for these shapes. A 2-sided polygon is known as a digon. A 1-sided polygon is known as a monogon. These shapes only exist in theory however and not in real life.
No such thing as a 'hepagon'. I think you mean 'HEPTAGON'. Note the spelling. A heptagon is a seven(7) sided 2-dimensional figure. From their Latin roots, the names of polygons are : - 3 ' Trigon (Triangle). 4 ' Tetragon ( Quadrilateral) 5 ' Pentagon 6 ' Hexagon 7' Heptagon ( as given) 8 ' Octagon 9 ' Nonagon 10 ' Decagon 100 ' Centagon 1000 ' Millagon. '--gon' is also Latin , for '2 dimensional figure. So learn some Latin. Science and Maths use a lot of words from these ancient languages.
A plain sided, 2-dimensional figure of TEN(10) sides. NB From the Latin roots, then names of polygons are :- 3 = tri 4 = tetra/quad 5 = pent 6 = hexa 7 = hepta 8 =- octa 9 = nona 10 = deca (As in decagon above).