1300131300013 has 48 divisors (see below), whose sum is σ = 1637150402160. Its totient is φ = 1023368822784.

The previous prime is 1300131299981. The next prime is 1300131300019. The reversal of 1300131300013 is 3100031310031.

It can be written as a sum of positive squares in 8 ways, for example, as 375422122089 + 924709177924 = 612717^2 + 961618^2 .

It is not a de Polignac number, because 1300131300013 - 2⁵ = 1300131299981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1300131300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300131300019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209122081 + ... + 209128297.

It is an arithmetic number, because the mean of its divisors is an integer number (34107300045).

Almost surely, 2^{1300131300013} is an apocalyptic number.

1300131300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300131300013 is a deficient number, since it is larger than the sum of its proper divisors (337019102147).

1300131300013 is a wasteful number, since it uses less digits than its factorization.

1300131300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1300131300013 its reverse (3100031310031), we get a palindrome (4400162610044).

The spelling of 1300131300013 in words is "one trillion, three hundred billion, one hundred thirty-one million, three hundred thousand, thirteen".