1310310020113 has 8 divisors (see below), whose sum is σ = 1332918265896. Its totient is φ = 1287738153600.

The previous prime is 1310310020083. The next prime is 1310310020167. The reversal of 1310310020113 is 3110200130131.

It can be written as a sum of positive squares in 4 ways, for example, as 280271771649 + 1030038248464 = 529407^2 + 1014908^2 .

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 1310310020113 - 2⁵ = 1310310020081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310310024113) 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, 9022156 + ... + 9166237.

It is an arithmetic number, because the mean of its divisors is an integer number (166614783237).

Almost surely, 2^{1310310020113} is an apocalyptic number.

It is an amenable number.

1310310020113 is a deficient number, since it is larger than the sum of its proper divisors (22608245783).

1310310020113 is a wasteful number, since it uses less digits than its factorization.

1310310020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18189635.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1310310020113 its reverse (3110200130131), we get a palindrome (4420510150244).

The spelling of 1310310020113 in words is "one trillion, three hundred ten billion, three hundred ten million, twenty thousand, one hundred thirteen".