Your serial number 1313139 shows that your Springfield model 1903 rifle was made in the year 1929.
made 1903
Your serial number indicates that your Springfield model 1903 rifle was made in the year 1919.
about 1910
1944
Your serial number indicates that your Model 1903 springfield rifle was made in the year 1909.
about 1921
With the serial number that you have supplied;your Springfield model 1903 rifle was made in the year 1924.
your springfield model 1903 was made in 1920.
about 1905
about 1918
Made in 1912
about 1918