211300111013 has 2 divisors, whose sum is σ = 211300111014. Its totient is φ = 211300111012.

The previous prime is 211300110953. The next prime is 211300111103. The reversal of 211300111013 is 310111003112.

It is a happy number.

Together with next prime (211300111103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151428383044 + 59871727969 = 389138^2 + 244687^2 .

It is a cyclic number.

It is not a de Polignac number, because 211300111013 - 2¹⁰ = 211300109989 is a prime.

It is a super-2 number, since 2×211300111013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211300117013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105650055506 + 105650055507.

It is an arithmetic number, because the mean of its divisors is an integer number (105650055507).

Almost surely, 2^211300111013 is an apocalyptic number.

It is an amenable number.

211300111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211300111013 is an equidigital number, since it uses as much as digits as its factorization.

211300111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 211300111013 its reverse (310111003112), we get a palindrome (521411114125).

The spelling of 211300111013 in words is "two hundred eleven billion, three hundred million, one hundred eleven thousand, thirteen".