211100013 has 40 divisors (see below), whose sum is σ = 336670400. Its totient is φ = 131429952.

The previous prime is 211100009. The next prime is 211100017. The reversal of 211100013 is 310001112.

It is an interprime number because it is at equal distance from previous prime (211100009) and next prime (211100017).

It is not a de Polignac number, because 211100013 - 2² = 211100009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211099968 and 211100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100017) 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 in 39 ways as a sum of consecutive naturals, for example, 111408 + ... + 113286.

It is an arithmetic number, because the mean of its divisors is an integer number (8416760).

Almost surely, 2^211100013 is an apocalyptic number.

It is an amenable number.

211100013 is a deficient number, since it is larger than the sum of its proper divisors (125570387).

211100013 is a wasteful number, since it uses less digits than its factorization.

211100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1974 counting only the distinct ones).

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

The square root of 211100013 is about 14529.2812279204. The cubic root of 211100013 is about 595.4282283163.

Adding to 211100013 its reverse (310001112), we get a palindrome (521101125).

The spelling of 211100013 in words is "two hundred eleven million, one hundred thousand, thirteen".