213301001321 has 2 divisors, whose sum is σ = 213301001322. Its totient is φ = 213301001320.

The previous prime is 213301001311. The next prime is 213301001323. The reversal of 213301001321 is 123100103312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212000389225 + 1300612096 = 460435^2 + 36064^2 .

It is a cyclic number.

It is not a de Polignac number, because 213301001321 - 2¹⁸ = 213300739177 is a prime.

It is a Sophie Germain prime.

Together with 213301001323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213301001321.

It is not a weakly prime, because it can be changed into another prime (213301001323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106650500660 + 106650500661.

It is an arithmetic number, because the mean of its divisors is an integer number (106650500661).

Almost surely, 2^213301001321 is an apocalyptic number.

It is an amenable number.

213301001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213301001321 is an equidigital number, since it uses as much as digits as its factorization.

213301001321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213301001321 its reverse (123100103312), we get a palindrome (336401104633).

The spelling of 213301001321 in words is "two hundred thirteen billion, three hundred one million, one thousand, three hundred twenty-one".