213003102313 has 2 divisors, whose sum is σ = 213003102314. Its totient is φ = 213003102312.

The previous prime is 213003102289. The next prime is 213003102349. The reversal of 213003102313 is 313201300312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143661466729 + 69341635584 = 379027^2 + 263328^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003102313 - 2²⁵ = 212969547881 is a prime.

It is not a weakly prime, because it can be changed into another prime (213003102383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501551156 + 106501551157.

It is an arithmetic number, because the mean of its divisors is an integer number (106501551157).

Almost surely, 2^213003102313 is an apocalyptic number.

It is an amenable number.

213003102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003102313 is an equidigital number, since it uses as much as digits as its factorization.

213003102313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213003102313 its reverse (313201300312), we get a palindrome (526204402625).

The spelling of 213003102313 in words is "two hundred thirteen billion, three million, one hundred two thousand, three hundred thirteen".