211101002212013 has 2 divisors, whose sum is σ = 211101002212014. Its totient is φ = 211101002212012.

The previous prime is 211101002211947. The next prime is 211101002212031. The reversal of 211101002212013 is 310212200101112.

It is a happy number.

Together with next prime (211101002212031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141210014445124 + 69890987766889 = 11883182^2 + 8360083^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101002212013 - 2²⁴ = 211100985434797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101002211982 and 211101002212000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211101002212033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550501106006 + 105550501106007.

It is an arithmetic number, because the mean of its divisors is an integer number (105550501106007).

Almost surely, 2^{211101002212013} is an apocalyptic number.

It is an amenable number.

211101002212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101002212013 is an equidigital number, since it uses as much as digits as its factorization.

211101002212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211101002212013 its reverse (310212200101112), we get a palindrome (521313202313125).

The spelling of 211101002212013 in words is "two hundred eleven trillion, one hundred one billion, two million, two hundred twelve thousand, thirteen".