211031102106113 has 2 divisors, whose sum is σ = 211031102106114. Its totient is φ = 211031102106112.

The previous prime is 211031102106101. The next prime is 211031102106193. The reversal of 211031102106113 is 311601201130112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156491518257649 + 54539583848464 = 12509657^2 + 7385092^2 .

It is a cyclic number.

It is not a de Polignac number, because 211031102106113 - 2²⁶ = 211031034997249 is a prime.

It is a super-2 number, since 2×211031102106113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211031102106193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105515551053056 + 105515551053057.

It is an arithmetic number, because the mean of its divisors is an integer number (105515551053057).

Almost surely, 2^{211031102106113} is an apocalyptic number.

It is an amenable number.

211031102106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211031102106113 is an equidigital number, since it uses as much as digits as its factorization.

211031102106113 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 23.

Adding to 211031102106113 its reverse (311601201130112), we get a palindrome (522632303236225).

The spelling of 211031102106113 in words is "two hundred eleven trillion, thirty-one billion, one hundred two million, one hundred six thousand, one hundred thirteen".