213013222132313 has 2 divisors, whose sum is σ = 213013222132314. Its totient is φ = 213013222132312.

The previous prime is 213013222132303. The next prime is 213013222132331. The reversal of 213013222132313 is 313231222310312.

Together with next prime (213013222132331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212987258610889 + 25963521424 = 14594083^2 + 161132^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013222132313 - 2³⁸ = 212738344225369 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 (213013222132303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506611066156 + 106506611066157.

It is an arithmetic number, because the mean of its divisors is an integer number (106506611066157).

Almost surely, 2^{213013222132313} is an apocalyptic number.

It is an amenable number.

213013222132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013222132313 is an equidigital number, since it uses as much as digits as its factorization.

213013222132313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 213013222132313 its reverse (313231222310312), we get a palindrome (526244444442625).

The spelling of 213013222132313 in words is "two hundred thirteen trillion, thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred thirteen".