1313120313 has 12 divisors (see below), whose sum is σ = 1897110228. Its totient is φ = 875237760.

The previous prime is 1313120297. The next prime is 1313120327. The reversal of 1313120313 is 3130213131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 323892009 + 989228304 = 17997^2 + 31452^2 .

It is not a de Polignac number, because 1313120313 - 2⁴ = 1313120297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313120213) 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, 45781 + ... + 68717.

It is an arithmetic number, because the mean of its divisors is an integer number (158092519).

Almost surely, 2^1313120313 is an apocalyptic number.

It is an amenable number.

1313120313 is a deficient number, since it is larger than the sum of its proper divisors (583989915).

1313120313 is a wasteful number, since it uses less digits than its factorization.

1313120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304 (or 29301 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313120313 is about 36237.0019869194. The cubic root of 1313120313 is about 1095.0522449583.

Adding to 1313120313 its reverse (3130213131), we get a palindrome (4443333444).

The spelling of 1313120313 in words is "one billion, three hundred thirteen million, one hundred twenty thousand, three hundred thirteen".