213122223322013 has 2 divisors, whose sum is σ = 213122223322014. Its totient is φ = 213122223322012.

The previous prime is 213122223321983. The next prime is 213122223322049. The reversal of 213122223322013 is 310223322221312.

213122223322013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213002436727609 + 119786594404 = 14594603^2 + 346102^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122223322013 - 2¹² = 213122223317917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122223321013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561111661006 + 106561111661007.

It is an arithmetic number, because the mean of its divisors is an integer number (106561111661007).

Almost surely, 2^{213122223322013} is an apocalyptic number.

It is an amenable number.

213122223322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122223322013 is an equidigital number, since it uses as much as digits as its factorization.

213122223322013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 213122223322013 its reverse (310223322221312), we get a palindrome (523345545543325).

The spelling of 213122223322013 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred twenty-three million, three hundred twenty-two thousand, thirteen".