213113310313 has 2 divisors, whose sum is σ = 213113310314. Its totient is φ = 213113310312.

The previous prime is 213113310301. The next prime is 213113310341. The reversal of 213113310313 is 313013311312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212892728409 + 220581904 = 461403^2 + 14852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213113310313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113310013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556655156 + 106556655157.

It is an arithmetic number, because the mean of its divisors is an integer number (106556655157).

Almost surely, 2^213113310313 is an apocalyptic number.

It is an amenable number.

213113310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113310313 is an equidigital number, since it uses as much as digits as its factorization.

213113310313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 213113310313 its reverse (313013311312), we get a palindrome (526126621625).

Subtracting 213113310313 from its reverse (313013311312), we obtain a palindrome (99900000999).

The spelling of 213113310313 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred ten thousand, three hundred thirteen".