2001313211013 has 16 divisors (see below), whose sum is σ = 2971787616000. Its totient is φ = 1331113187520.

The previous prime is 2001313210999. The next prime is 2001313211017. The reversal of 2001313211013 is 3101123131002.

2001313211013 is a `hidden beast` number, since 200 + 131 + 321 + 1 + 0 + 13 = 666.

It is not a de Polignac number, because 2001313211013 - 2¹⁶ = 2001313145477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313211017) 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 15 ways as a sum of consecutive naturals, for example, 85977588 + ... + 86000861.

It is an arithmetic number, because the mean of its divisors is an integer number (185736726000).

Almost surely, 2^{2001313211013} is an apocalyptic number.

It is an amenable number.

2001313211013 is a deficient number, since it is larger than the sum of its proper divisors (970474404987).

2001313211013 is a wasteful number, since it uses less digits than its factorization.

2001313211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171978889 (or 171978883 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2001313211013 its reverse (3101123131002), we get a palindrome (5102436342015).

The spelling of 2001313211013 in words is "two trillion, one billion, three hundred thirteen million, two hundred eleven thousand, thirteen".