213001322321 has 2 divisors, whose sum is σ = 213001322322. Its totient is φ = 213001322320.

The previous prime is 213001322293. The next prime is 213001322327. The reversal of 213001322321 is 123223100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157637585296 + 55363737025 = 397036^2 + 235295^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001322321 - 2³⁰ = 211927580497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213001322293 and 213001322302.

It is not a weakly prime, because it can be changed into another prime (213001322327) 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, 106500661160 + 106500661161.

It is an arithmetic number, because the mean of its divisors is an integer number (106500661161).

Almost surely, 2^213001322321 is an apocalyptic number.

It is an amenable number.

213001322321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001322321 is an equidigital number, since it uses as much as digits as its factorization.

213001322321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213001322321 its reverse (123223100312), we get a palindrome (336224422633).

The spelling of 213001322321 in words is "two hundred thirteen billion, one million, three hundred twenty-two thousand, three hundred twenty-one".