21220332212113 has 2 divisors, whose sum is σ = 21220332212114. Its totient is φ = 21220332212112.

The previous prime is 21220332212077. The next prime is 21220332212129. The reversal of 21220332212113 is 31121223302212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13042007722384 + 8178324489729 = 3611372^2 + 2859777^2 .

It is a cyclic number.

It is not a de Polignac number, because 21220332212113 - 2¹⁷ = 21220332081041 is a prime.

It is not a weakly prime, because it can be changed into another prime (21220332215113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610166106056 + 10610166106057.

It is an arithmetic number, because the mean of its divisors is an integer number (10610166106057).

Almost surely, 2^{21220332212113} is an apocalyptic number.

It is an amenable number.

21220332212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220332212113 is an equidigital number, since it uses as much as digits as its factorization.

21220332212113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21220332212113 its reverse (31121223302212), we get a palindrome (52341555514325).

The spelling of 21220332212113 in words is "twenty-one trillion, two hundred twenty billion, three hundred thirty-two million, two hundred twelve thousand, one hundred thirteen".