1311310013 has 8 divisors (see below), whose sum is σ = 1457734656. Its totient is φ = 1171393200.

The previous prime is 1311309959. The next prime is 1311310031. The reversal of 1311310013 is 3100131131.

It is a happy number.

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 1311310013 - 2²⁰ = 1310261437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311310513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626533 + ... + 1627338.

It is an arithmetic number, because the mean of its divisors is an integer number (182216832).

Almost surely, 2^1311310013 is an apocalyptic number.

1311310013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311310013 is a deficient number, since it is larger than the sum of its proper divisors (146424643).

1311310013 is a wasteful number, since it uses less digits than its factorization.

1311310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253915.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1311310013 is about 36212.0147602974. The cubic root of 1311310013 is about 1094.5487915325.

Adding to 1311310013 its reverse (3100131131), we get a palindrome (4411441144).

The spelling of 1311310013 in words is "one billion, three hundred eleven million, three hundred ten thousand, thirteen".