211010013 has 24 divisors (see below), whose sum is σ = 311859288. Its totient is φ = 137434752.

The previous prime is 211009999. The next prime is 211010047. The reversal of 211010013 is 310010112.

It can be written as a sum of positive squares in 4 ways, for example, as 5890329 + 205119684 = 2427^2 + 14322^2 .

It is not a de Polignac number, because 211010013 - 2¹⁸ = 210747869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211009977 and 211010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131331 + ... + 132927.

It is an arithmetic number, because the mean of its divisors is an integer number (12994137).

Almost surely, 2^211010013 is an apocalyptic number.

It is an amenable number.

211010013 is a deficient number, since it is larger than the sum of its proper divisors (100849275).

211010013 is a wasteful number, since it uses less digits than its factorization.

211010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 211010013 is about 14526.1837039189. The cubic root of 211010013 is about 595.3435983548.

Adding to 211010013 its reverse (310010112), we get a palindrome (521020125).

Subtracting 211010013 from its reverse (310010112), we obtain a palindrome (99000099).

The spelling of 211010013 in words is "two hundred eleven million, ten thousand, thirteen".