211100117113 has 2 divisors, whose sum is σ = 211100117114. Its totient is φ = 211100117112.

The previous prime is 211100117093. The next prime is 211100117119. The reversal of 211100117113 is 311711001112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125112178944 + 85987938169 = 353712^2 + 293237^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211100117113 is a prime.

It is not a weakly prime, because it can be changed into another prime (211100117119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550058556 + 105550058557.

It is an arithmetic number, because the mean of its divisors is an integer number (105550058557).

Almost surely, 2^211100117113 is an apocalyptic number.

It is an amenable number.

211100117113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100117113 is an equidigital number, since it uses as much as digits as its factorization.

211100117113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 211100117113 its reverse (311711001112), we get a palindrome (522811118225).

The spelling of 211100117113 in words is "two hundred eleven billion, one hundred million, one hundred seventeen thousand, one hundred thirteen".