213023020313 has 2 divisors, whose sum is σ = 213023020314. Its totient is φ = 213023020312.

The previous prime is 213023020159. The next prime is 213023020319. The reversal of 213023020313 is 313020320312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176695803904 + 36327216409 = 420352^2 + 190597^2 .

It is a cyclic number.

It is not a de Polignac number, because 213023020313 - 2²⁴ = 213006243097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213023020319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106511510156 + 106511510157.

It is an arithmetic number, because the mean of its divisors is an integer number (106511510157).

Almost surely, 2^213023020313 is an apocalyptic number.

It is an amenable number.

213023020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213023020313 is an equidigital number, since it uses as much as digits as its factorization.

213023020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213023020313 its reverse (313020320312), we get a palindrome (526043340625).

The spelling of 213023020313 in words is "two hundred thirteen billion, twenty-three million, twenty thousand, three hundred thirteen".