213130323102313 has 2 divisors, whose sum is σ = 213130323102314. Its totient is φ = 213130323102312.

The previous prime is 213130323102239. The next prime is 213130323102409. The reversal of 213130323102313 is 313201323031312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194276429902864 + 18853893199449 = 13938308^2 + 4342107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213130323102313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213130323102413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565161551156 + 106565161551157.

It is an arithmetic number, because the mean of its divisors is an integer number (106565161551157).

Almost surely, 2^{213130323102313} is an apocalyptic number.

It is an amenable number.

213130323102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213130323102313 is an equidigital number, since it uses as much as digits as its factorization.

213130323102313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 213130323102313 its reverse (313201323031312), we get a palindrome (526331646133625).

The spelling of 213130323102313 in words is "two hundred thirteen trillion, one hundred thirty billion, three hundred twenty-three million, one hundred two thousand, three hundred thirteen".