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.
1944
about 1910
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.
Made in 1912
about 1918
about 1918
about 1905
your springfield model 1903 was made in 1920.