2001310012321 has 2 divisors, whose sum is σ = 2001310012322. Its totient is φ = 2001310012320.

The previous prime is 2001310012301. The next prime is 2001310012327. The reversal of 2001310012321 is 1232100131002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1931474550625 + 69835461696 = 1389775^2 + 264264^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001310012321 - 2¹⁹ = 2001309488033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001310012295 and 2001310012304.

It is not a weakly prime, because it can be changed into another prime (2001310012327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655006160 + 1000655006161.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655006161).

Almost surely, 2^{2001310012321} is an apocalyptic number.

It is an amenable number.

2001310012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001310012321 is an equidigital number, since it uses as much as digits as its factorization.

2001310012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2001310012321 its reverse (1232100131002), we get a palindrome (3233410143323).

The spelling of 2001310012321 in words is "two trillion, one billion, three hundred ten million, twelve thousand, three hundred twenty-one".