213232302313 has 2 divisors, whose sum is σ = 213232302314. Its totient is φ = 213232302312.

The previous prime is 213232302299. The next prime is 213232302317. The reversal of 213232302313 is 313203232312.

213232302313 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., 134356703209 + 78875599104 = 366547^2 + 280848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213232302313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213232302317) 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, 106616151156 + 106616151157.

It is an arithmetic number, because the mean of its divisors is an integer number (106616151157).

Almost surely, 2^213232302313 is an apocalyptic number.

It is an amenable number.

213232302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232302313 is an equidigital number, since it uses as much as digits as its factorization.

213232302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 213232302313 its reverse (313203232312), we get a palindrome (526435534625).

The spelling of 213232302313 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred two thousand, three hundred thirteen".