1314133985 has 12 divisors (see below), whose sum is σ = 1633219068. Its totient is φ = 1015051968.

The previous prime is 1314133867. The next prime is 1314133987. The reversal of 1314133985 is 5893314131.

It can be written as a sum of positive squares in 6 ways, for example, as 142372624 + 1171761361 = 11932^2 + 34231^2 .

It is not a de Polignac number, because 1314133985 - 2¹⁰ = 1314132961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314133987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152054 + ... + 160463.

It is an arithmetic number, because the mean of its divisors is an integer number (136101589).

Almost surely, 2^1314133985 is an apocalyptic number.

It is an amenable number.

1314133985 is a deficient number, since it is larger than the sum of its proper divisors (319085083).

1314133985 is an equidigital number, since it uses as much as digits as its factorization.

1314133985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312580 (or 312551 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 1314133985 is about 36250.9859865908. The cubic root of 1314133985 is about 1095.3339501152. Note that the first 3 decimals are identical.

The spelling of 1314133985 in words is "one billion, three hundred fourteen million, one hundred thirty-three thousand, nine hundred eighty-five".