211113013 has 2 divisors, whose sum is σ = 211113014. Its totient is φ = 211113012.

The previous prime is 211112999. The next prime is 211113017. The reversal of 211113013 is 310311112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188293284 + 22819729 = 13722^2 + 4777^2 .

It is a cyclic number.

It is not a de Polignac number, because 211113013 - 2¹³ = 211104821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112984 and 211113002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211113017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556506 + 105556507.

It is an arithmetic number, because the mean of its divisors is an integer number (105556507).

Almost surely, 2^211113013 is an apocalyptic number.

It is an amenable number.

211113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211113013 is an equidigital number, since it uses as much as digits as its factorization.

211113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 211113013 is about 14529.7285934735. The cubic root of 211113013 is about 595.4404506558.

Adding to 211113013 its reverse (310311112), we get a palindrome (521424125).

The spelling of 211113013 in words is "two hundred eleven million, one hundred thirteen thousand, thirteen".