3001312123321 has 2 divisors, whose sum is σ = 3001312123322. Its totient is φ = 3001312123320.

The previous prime is 3001312123291. The next prime is 3001312123343. The reversal of 3001312123321 is 1233212131003.

3001312123321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3001312123343) can be obtained adding 3001312123321 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1943057572096 + 1058254551225 = 1393936^2 + 1028715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3001312123321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3001312123292 and 3001312123301.

It is not a weakly prime, because it can be changed into another prime (3001312123361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500656061660 + 1500656061661.

It is an arithmetic number, because the mean of its divisors is an integer number (1500656061661).

Almost surely, 2^{3001312123321} is an apocalyptic number.

It is an amenable number.

3001312123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001312123321 is an equidigital number, since it uses as much as digits as its factorization.

3001312123321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3001312123321 its reverse (1233212131003), we get a palindrome (4234524254324).

The spelling of 3001312123321 in words is "three trillion, one billion, three hundred twelve million, one hundred twenty-three thousand, three hundred twenty-one".