221013132113 has 2 divisors, whose sum is σ = 221013132114. Its totient is φ = 221013132112.

The previous prime is 221013132097. The next prime is 221013132139. The reversal of 221013132113 is 311231310122.

It is a happy number.

221013132113 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., 142379438224 + 78633693889 = 377332^2 + 280417^2 .

It is a cyclic number.

It is not a de Polignac number, because 221013132113 - 2⁴ = 221013132097 is a prime.

It is not a weakly prime, because it can be changed into another prime (221013132913) 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, 110506566056 + 110506566057.

It is an arithmetic number, because the mean of its divisors is an integer number (110506566057).

Almost surely, 2^221013132113 is an apocalyptic number.

It is an amenable number.

221013132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221013132113 is an equidigital number, since it uses as much as digits as its factorization.

221013132113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 221013132113 its reverse (311231310122), we get a palindrome (532244442235).

The spelling of 221013132113 in words is "two hundred twenty-one billion, thirteen million, one hundred thirty-two thousand, one hundred thirteen".