221013102113 has 2 divisors, whose sum is σ = 221013102114. Its totient is φ = 221013102112.

The previous prime is 221013102077. The next prime is 221013102157. The reversal of 221013102113 is 311201310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179023764544 + 41989337569 = 423112^2 + 204913^2 .

It is a cyclic number.

It is not a de Polignac number, because 221013102113 - 2⁶ = 221013102049 is a prime.

It is a super-2 number, since 2×221013102113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221013102091 and 221013102100.

It is not a weakly prime, because it can be changed into another prime (221013132113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110506551056 + 110506551057.

It is an arithmetic number, because the mean of its divisors is an integer number (110506551057).

Almost surely, 2^221013102113 is an apocalyptic number.

It is an amenable number.

221013102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221013102113 is an equidigital number, since it uses as much as digits as its factorization.

221013102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221013102113 its reverse (311201310122), we get a palindrome (532214412235).

The spelling of 221013102113 in words is "two hundred twenty-one billion, thirteen million, one hundred two thousand, one hundred thirteen".