2001300320313 has 192 divisors, whose sum is σ = 3485320151040. Its totient is φ = 1083126380544.

The previous prime is 2001300320237. The next prime is 2001300320321. The reversal of 2001300320313 is 3130230031002.

2001300320313 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 30 + 0 + 320 + 313 = 666.

It is not a de Polignac number, because 2001300320313 - 2²⁰ = 2001299271737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001300320323) 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 191 ways as a sum of consecutive naturals, for example, 3978728020 + ... + 3978728522.

It is an arithmetic number, because the mean of its divisors is an integer number (18152709120).

Almost surely, 2^{2001300320313} is an apocalyptic number.

It is an amenable number.

2001300320313 is a deficient number, since it is larger than the sum of its proper divisors (1484019830727).

2001300320313 is a wasteful number, since it uses less digits than its factorization.

2001300320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2001300320313 its reverse (3130230031002), we get a palindrome (5131530351315).

The spelling of 2001300320313 in words is "two trillion, one billion, three hundred million, three hundred twenty thousand, three hundred thirteen".