2001013220205 has 48 divisors (see below), whose sum is σ = 3587660504064. Its totient is φ = 1030659966720.

The previous prime is 2001013220191. The next prime is 2001013220209. The reversal of 2001013220205 is 5020223101002.

It is not a de Polignac number, because 2001013220205 - 2³¹ = 1998865736557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001013220209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793344 + ... + 2152073.

It is an arithmetic number, because the mean of its divisors is an integer number (74742927168).

Almost surely, 2^{2001013220205} is an apocalyptic number.

It is an amenable number.

2001013220205 is a deficient number, since it is larger than the sum of its proper divisors (1586647283859).

2001013220205 is a wasteful number, since it uses less digits than its factorization.

2001013220205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945946 (or 2945943 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2001013220205 its reverse (5020223101002), we get a palindrome (7021236321207).

The spelling of 2001013220205 in words is "two trillion, one billion, thirteen million, two hundred twenty thousand, two hundred five".