2001313210221 has 12 divisors (see below), whose sum is σ = 3113153882748. Its totient is φ = 1231577360064.

The previous prime is 2001313210201. The next prime is 2001313210229. The reversal of 2001313210221 is 1220123131002.

2001313210221 is a `hidden beast` number, since 200 + 1 + 31 + 3 + 210 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1205854356996 + 795458853225 = 1098114^2 + 891885^2 .

It is not a de Polignac number, because 2001313210221 - 2⁵ = 2001313210189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001313210194 and 2001313210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313210229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8552620440 + ... + 8552620673.

It is an arithmetic number, because the mean of its divisors is an integer number (259429490229).

Almost surely, 2^{2001313210221} is an apocalyptic number.

It is an amenable number.

2001313210221 is a deficient number, since it is larger than the sum of its proper divisors (1111840672527).

2001313210221 is a wasteful number, since it uses less digits than its factorization.

2001313210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105241132 (or 17105241129 counting only the distinct ones).

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

Adding to 2001313210221 its reverse (1220123131002), we get a palindrome (3221436341223).

The spelling of 2001313210221 in words is "two trillion, one billion, three hundred thirteen million, two hundred ten thousand, two hundred twenty-one".