9823312220213 has 2 divisors, whose sum is σ = 9823312220214. Its totient is φ = 9823312220212.

The previous prime is 9823312220177. The next prime is 9823312220251. The reversal of 9823312220213 is 3120222133289.

It is an a-pointer prime, because the next prime (9823312220251) can be obtained adding 9823312220213 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7041895473649 + 2781416746564 = 2653657^2 + 1667758^2 .

It is an emirp because it is prime and its reverse (3120222133289) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9823312220213 - 2¹⁴ = 9823312203829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9822312220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4911656110106 + 4911656110107.

It is an arithmetic number, because the mean of its divisors is an integer number (4911656110107).

Almost surely, 2^{9823312220213} is an apocalyptic number.

It is an amenable number.

9823312220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

9823312220213 is an equidigital number, since it uses as much as digits as its factorization.

9823312220213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 9823312220213 in words is "nine trillion, eight hundred twenty-three billion, three hundred twelve million, two hundred twenty thousand, two hundred thirteen".