2001231013321 has 2 divisors, whose sum is σ = 2001231013322. Its totient is φ = 2001231013320.

The previous prime is 2001231013193. The next prime is 2001231013337. The reversal of 2001231013321 is 1233101321002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1984325812921 + 16905200400 = 1408661^2 + 130020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001231013321 - 2⁷ = 2001231013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001231013021) 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 as a sum of consecutive naturals, namely, 1000615506660 + 1000615506661.

It is an arithmetic number, because the mean of its divisors is an integer number (1000615506661).

Almost surely, 2^{2001231013321} is an apocalyptic number.

It is an amenable number.

2001231013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001231013321 is an equidigital number, since it uses as much as digits as its factorization.

2001231013321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2001231013321 its reverse (1233101321002), we get a palindrome (3234332334323).

The spelling of 2001231013321 in words is "two trillion, one billion, two hundred thirty-one million, thirteen thousand, three hundred twenty-one".