2001313013321 has 24 divisors (see below), whose sum is σ = 2158387799040. Its totient is φ = 1854558135936.

The previous prime is 2001313013309. The next prime is 2001313013341. The reversal of 2001313013321 is 1233103131002.

It is a de Polignac number, because none of the positive numbers 2^k-2001313013321 is a prime.

It is a super-2 number, since 2×2001313013321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001313013293 and 2001313013302.

It is not an unprimeable number, because it can be changed into a prime (2001313013341) 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 23 ways as a sum of consecutive naturals, for example, 29811425 + ... + 29878481.

It is an arithmetic number, because the mean of its divisors is an integer number (89932824960).

Almost surely, 2^{2001313013321} is an apocalyptic number.

It is an amenable number.

2001313013321 is a deficient number, since it is larger than the sum of its proper divisors (157074785719).

2001313013321 is a wasteful number, since it uses less digits than its factorization.

2001313013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68901 (or 68882 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2001313013321 its reverse (1233103131002), we get a palindrome (3234416144323).

The spelling of 2001313013321 in words is "two trillion, one billion, three hundred thirteen million, thirteen thousand, three hundred twenty-one".