213101102113 has 2 divisors, whose sum is σ = 213101102114. Its totient is φ = 213101102112.

The previous prime is 213101102059. The next prime is 213101102119. The reversal of 213101102113 is 311201101312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186993975184 + 26107126929 = 432428^2 + 161577^2 .

It is a cyclic number.

It is not a de Polignac number, because 213101102113 - 2²⁵ = 213067547681 is a prime.

It is not a weakly prime, because it can be changed into another prime (213101102119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106550551056 + 106550551057.

It is an arithmetic number, because the mean of its divisors is an integer number (106550551057).

Almost surely, 2^213101102113 is an apocalyptic number.

It is an amenable number.

213101102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213101102113 is an equidigital number, since it uses as much as digits as its factorization.

213101102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213101102113 its reverse (311201101312), we get a palindrome (524302203425).

The spelling of 213101102113 in words is "two hundred thirteen billion, one hundred one million, one hundred two thousand, one hundred thirteen".