213231000001 has 2 divisors, whose sum is σ = 213231000002. Its totient is φ = 213231000000.

The previous prime is 213230999959. The next prime is 213231000007. The reversal of 213231000001 is 100000132312.

213231000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207370944400 + 5860055601 = 455380^2 + 76551^2 .

It is a cyclic number.

It is not a de Polignac number, because 213231000001 - 2⁹ = 213230999489 is a prime.

It is a super-2 number, since 2×213231000001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213231000007) 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, 106615500000 + 106615500001.

It is an arithmetic number, because the mean of its divisors is an integer number (106615500001).

Almost surely, 2^213231000001 is an apocalyptic number.

It is an amenable number.

213231000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213231000001 is an equidigital number, since it uses as much as digits as its factorization.

213231000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213231000001 its reverse (100000132312), we get a palindrome (313231132313).

The spelling of 213231000001 in words is "two hundred thirteen billion, two hundred thirty-one million, one", and thus it is an aban number.