2001313120221 has 48 divisors (see below), whose sum is σ = 3015053046720. Its totient is φ = 1277622528000.

The previous prime is 2001313120189. The next prime is 2001313120237. The reversal of 2001313120221 is 1220213131002.

2001313120221 is a `hidden beast` number, since 2 + 0 + 0 + 131 + 312 + 0 + 221 = 666.

It is not a de Polignac number, because 2001313120221 - 2⁵ = 2001313120189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001313120194 and 2001313120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313120021) 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 47 ways as a sum of consecutive naturals, for example, 61903741 + ... + 61936061.

It is an arithmetic number, because the mean of its divisors is an integer number (62813605140).

Almost surely, 2^{2001313120221} is an apocalyptic number.

It is an amenable number.

2001313120221 is a deficient number, since it is larger than the sum of its proper divisors (1013739926499).

2001313120221 is a wasteful number, since it uses less digits than its factorization.

2001313120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34298 (or 34295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2001313120221 its reverse (1220213131002), we get a palindrome (3221526251223).

The spelling of 2001313120221 in words is "two trillion, one billion, three hundred thirteen million, one hundred twenty thousand, two hundred twenty-one".