1301305677813 has 24 divisors (see below), whose sum is σ = 1961535114240. Its totient is φ = 829755986400.

The previous prime is 1301305677773. The next prime is 1301305677817. The reversal of 1301305677813 is 3187765031031.

1301305677813 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 0 + 567 + 7 + 81 + 3 = 666.

It is not a de Polignac number, because 1301305677813 - 2²⁰ = 1301304629237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301305677817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2619663 + ... + 3076563.

It is an arithmetic number, because the mean of its divisors is an integer number (81730629760).

Almost surely, 2^{1301305677813} is an apocalyptic number.

It is an amenable number.

1301305677813 is a deficient number, since it is larger than the sum of its proper divisors (660229436427).

1301305677813 is a wasteful number, since it uses less digits than its factorization.

1301305677813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470689 (or 470686 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1301305677813 in words is "one trillion, three hundred one billion, three hundred five million, six hundred seventy-seven thousand, eight hundred thirteen".