213000001 has 2 divisors, whose sum is σ = 213000002. Its totient is φ = 213000000.

The previous prime is 212999959. The next prime is 213000017. The reversal of 213000001 is 100000312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212459776 + 540225 = 14576^2 + 735^2 .

It is a cyclic number.

It is not a de Polignac number, because 213000001 - 2²⁷ = 78782273 is a prime.

It is not a weakly prime, because it can be changed into another prime (213000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500000 + 106500001.

It is an arithmetic number, because the mean of its divisors is an integer number (106500001).

Almost surely, 2^213000001 is an apocalyptic number.

It is an amenable number.

213000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213000001 is an equidigital number, since it uses as much as digits as its factorization.

213000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 213000001 is about 14594.5195535859. The cubic root of 213000001 is about 597.2092629172.

Adding to 213000001 its reverse (100000312), we get a palindrome (313000313).

The spelling of 213000001 in words is "two hundred thirteen million, one", and thus it is an aban number.