2001213102321 has 6 divisors (see below), whose sum is σ = 2890641147810. Its totient is φ = 1334142068208.

The previous prime is 2001213102299. The next prime is 2001213102349. The reversal of 2001213102321 is 1232013121002.

2001213102321 is a `hidden beast` number, since 2 + 0 + 0 + 121 + 310 + 232 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1687712774400 + 313500327921 = 1299120^2 + 559911^2 .

It is not a de Polignac number, because 2001213102321 - 2⁷ = 2001213102193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001213102294 and 2001213102303.

It is not an unprimeable number, because it can be changed into a prime (2001213102221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111178505676 + ... + 111178505693.

It is an arithmetic number, because the mean of its divisors is an integer number (481773524635).

Almost surely, 2^{2001213102321} is an apocalyptic number.

It is an amenable number.

2001213102321 is a deficient number, since it is larger than the sum of its proper divisors (889428045489).

2001213102321 is a wasteful number, since it uses less digits than its factorization.

2001213102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222357011375 (or 222357011372 counting only the distinct ones).

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

Adding to 2001213102321 its reverse (1232013121002), we get a palindrome (3233226223323).

The spelling of 2001213102321 in words is "two trillion, one billion, two hundred thirteen million, one hundred two thousand, three hundred twenty-one".