213213231001 has 2 divisors, whose sum is σ = 213213231002. Its totient is φ = 213213231000.

The previous prime is 213213230999. The next prime is 213213231037. The reversal of 213213231001 is 100132312312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213042249225 + 170981776 = 461565^2 + 13076^2 .

It is a cyclic number.

It is not a de Polignac number, because 213213231001 - 2¹ = 213213230999 is a prime.

Together with 213213230999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 213213231001.

It is not a weakly prime, because it can be changed into another prime (213213231701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606615500 + 106606615501.

It is an arithmetic number, because the mean of its divisors is an integer number (106606615501).

Almost surely, 2^213213231001 is an apocalyptic number.

It is an amenable number.

213213231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213213231001 is an equidigital number, since it uses as much as digits as its factorization.

213213231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213213231001 its reverse (100132312312), we get a palindrome (313345543313).

The spelling of 213213231001 in words is "two hundred thirteen billion, two hundred thirteen million, two hundred thirty-one thousand, one".