213000000001 has 2 divisors, whose sum is σ = 213000000002. Its totient is φ = 213000000000.

The previous prime is 212999999977. The next prime is 213000000013. The reversal of 213000000001 is 100000000312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212018807025 + 981192976 = 460455^2 + 31324^2 .

It is a cyclic number.

It is not a de Polignac number, because 213000000001 - 2¹⁵ = 212999967233 is a prime.

It is not a weakly prime, because it can be changed into another prime (213000007001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500000000 + 106500000001.

It is an arithmetic number, because the mean of its divisors is an integer number (106500000001).

Almost surely, 2^213000000001 is an apocalyptic number.

It is an amenable number.

213000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213000000001 is an equidigital number, since it uses as much as digits as its factorization.

213000000001 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.

Adding to 213000000001 its reverse (100000000312), we get a palindrome (313000000313).

The spelling of 213000000001 in words is "two hundred thirteen billion, one", and thus it is an aban number.