213142304201 has 2 divisors, whose sum is σ = 213142304202. Its totient is φ = 213142304200.

The previous prime is 213142304161. The next prime is 213142304257. The reversal of 213142304201 is 102403241312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187956931600 + 25185372601 = 433540^2 + 158699^2 .

It is a cyclic number.

It is not a de Polignac number, because 213142304201 - 2¹⁴ = 213142287817 is a prime.

It is a super-2 number, since 2×213142304201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213142304101) 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, 106571152100 + 106571152101.

It is an arithmetic number, because the mean of its divisors is an integer number (106571152101).

Almost surely, 2^213142304201 is an apocalyptic number.

It is an amenable number.

213142304201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213142304201 is an equidigital number, since it uses as much as digits as its factorization.

213142304201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213142304201 its reverse (102403241312), we get a palindrome (315545545513).

The spelling of 213142304201 in words is "two hundred thirteen billion, one hundred forty-two million, three hundred four thousand, two hundred one".