2001313130013 has 8 divisors (see below), whose sum is σ = 2964908340800. Its totient is φ = 1334208753324.

The previous prime is 2001313129997. The next prime is 2001313130017. The reversal of 2001313130013 is 3100313131002.

It is a happy number.

2001313130013 is a `hidden beast` number, since 200 + 131 + 31 + 300 + 1 + 3 = 666.

It is not a de Polignac number, because 2001313130013 - 2⁴ = 2001313129997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313130017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37061354233 + ... + 37061354286.

It is an arithmetic number, because the mean of its divisors is an integer number (370613542600).

Almost surely, 2^{2001313130013} is an apocalyptic number.

It is an amenable number.

2001313130013 is a deficient number, since it is larger than the sum of its proper divisors (963595210787).

2001313130013 is an equidigital number, since it uses as much as digits as its factorization.

2001313130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74122708528 (or 74122708522 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2001313130013 its reverse (3100313131002), we get a palindrome (5101626261015).

The spelling of 2001313130013 in words is "two trillion, one billion, three hundred thirteen million, one hundred thirty thousand, thirteen".