1314313013 has 8 divisors (see below), whose sum is σ = 1415715000. Its totient is φ = 1212954048.

The previous prime is 1314313009. The next prime is 1314313067. The reversal of 1314313013 is 3103134131.

It can be written as a sum of positive squares in 4 ways, for example, as 410589169 + 903723844 = 20263^2 + 30062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1314313013 - 2² = 1314313009 is a prime.

It is a super-2 number, since 2×1314313013² = 3454837392282276338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83063 + ... + 97611.

It is an arithmetic number, because the mean of its divisors is an integer number (176964375).

Almost surely, 2^1314313013 is an apocalyptic number.

1314313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314313013 is a deficient number, since it is larger than the sum of its proper divisors (101401987).

1314313013 is a wasteful number, since it uses less digits than its factorization.

1314313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21511.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1314313013 is about 36253.4551870577. The cubic root of 1314313013 is about 1095.3836879513.

Adding to 1314313013 its reverse (3103134131), we get a palindrome (4417447144).

The spelling of 1314313013 in words is "one billion, three hundred fourteen million, three hundred thirteen thousand, thirteen".