213201211001 has 2 divisors, whose sum is σ = 213201211002. Its totient is φ = 213201211000.

The previous prime is 213201210997. The next prime is 213201211007. The reversal of 213201211001 is 100112102312.

213201211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177413652025 + 35787558976 = 421205^2 + 189176^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201211001 - 2² = 213201210997 is a prime.

It is not a weakly prime, because it can be changed into another prime (213201211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600605500 + 106600605501.

It is an arithmetic number, because the mean of its divisors is an integer number (106600605501).

Almost surely, 2^213201211001 is an apocalyptic number.

It is an amenable number.

213201211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201211001 is an equidigital number, since it uses as much as digits as its factorization.

213201211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 213201211001 its reverse (100112102312), we get a palindrome (313313313313).

It can be divided in two parts, 21320 and 1211001, that added together give a palindrome (1232321).

The spelling of 213201211001 in words is "two hundred thirteen billion, two hundred one million, two hundred eleven thousand, one".