211100112123013 has 2 divisors, whose sum is σ = 211100112123014. Its totient is φ = 211100112123012.

The previous prime is 211100112123011. The next prime is 211100112123073. The reversal of 211100112123013 is 310321211001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137807713157409 + 73292398965604 = 11739153^2 + 8561098^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100112123013 - 2¹ = 211100112123011 is a prime.

Together with 211100112123011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100112123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550056061506 + 105550056061507.

It is an arithmetic number, because the mean of its divisors is an integer number (105550056061507).

Almost surely, 2^{211100112123013} is an apocalyptic number.

It is an amenable number.

211100112123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100112123013 is an equidigital number, since it uses as much as digits as its factorization.

211100112123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 211100112123013 its reverse (310321211001112), we get a palindrome (521421323124125).

The spelling of 211100112123013 in words is "two hundred eleven trillion, one hundred billion, one hundred twelve million, one hundred twenty-three thousand, thirteen".