1310440313 has 24 divisors (see below), whose sum is σ = 1670480448. Its totient is φ = 1001020608.

The previous prime is 1310440303. The next prime is 1310440333. The reversal of 1310440313 is 3130440131.

It is not a de Polignac number, because 1310440313 - 2⁴ = 1310440297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1310440303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67970 + ... + 85092.

It is an arithmetic number, because the mean of its divisors is an integer number (69603352).

Almost surely, 2^1310440313 is an apocalyptic number.

1310440313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310440313 is a deficient number, since it is larger than the sum of its proper divisors (360040135).

1310440313 is a wasteful number, since it uses less digits than its factorization.

1310440313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1310440313 is about 36200.0043232042. The cubic root of 1310440313 is about 1094.3067588574.

Adding to 1310440313 its reverse (3130440131), we get a palindrome (4440880444).

The spelling of 1310440313 in words is "one billion, three hundred ten million, four hundred forty thousand, three hundred thirteen".