1313113000013 has 24 divisors (see below), whose sum is σ = 1399137521760. Its totient is φ = 1232094097440.

The previous prime is 1313112999997. The next prime is 1313113000039. The reversal of 1313113000013 is 3100003113131.

It is not a de Polignac number, because 1313113000013 - 2⁴ = 1313112999997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313112999955 and 1313113000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313113000813) 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, 130122098 + ... + 130132188.

It is an arithmetic number, because the mean of its divisors is an integer number (58297396740).

Almost surely, 2^{1313113000013} is an apocalyptic number.

It is an amenable number.

1313113000013 is a deficient number, since it is larger than the sum of its proper divisors (86024521747).

1313113000013 is a wasteful number, since it uses less digits than its factorization.

1313113000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13545 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1313113000013 its reverse (3100003113131), we get a palindrome (4413116113144).

The spelling of 1313113000013 in words is "one trillion, three hundred thirteen billion, one hundred thirteen million, thirteen", and thus it is an aban number.