211312321001 has 2 divisors, whose sum is σ = 211312321002. Its totient is φ = 211312321000.

The previous prime is 211312320977. The next prime is 211312321063. The reversal of 211312321001 is 100123213112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135662568976 + 75649752025 = 368324^2 + 275045^2 .

It is a cyclic number.

It is not a de Polignac number, because 211312321001 - 2¹⁸ = 211312058857 is a prime.

It is not a weakly prime, because it can be changed into another prime (211312321901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105656160500 + 105656160501.

It is an arithmetic number, because the mean of its divisors is an integer number (105656160501).

Almost surely, 2^211312321001 is an apocalyptic number.

It is an amenable number.

211312321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211312321001 is an equidigital number, since it uses as much as digits as its factorization.

211312321001 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 17.

Adding to 211312321001 its reverse (100123213112), we get a palindrome (311435534113).

The spelling of 211312321001 in words is "two hundred eleven billion, three hundred twelve million, three hundred twenty-one thousand, one".