211120113 has 16 divisors (see below), whose sum is σ = 294010560. Its totient is φ = 134617536.

The previous prime is 211120109. The next prime is 211120139. The reversal of 211120113 is 311021112.

It is not a de Polignac number, because 211120113 - 2² = 211120109 is a prime.

It is a super-2 number, since 2×211120113² = 89143404226265538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211120183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9570 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (18375660).

Almost surely, 2^211120113 is an apocalyptic number.

It is an amenable number.

211120113 is a deficient number, since it is larger than the sum of its proper divisors (82890447).

211120113 is a wasteful number, since it uses less digits than its factorization.

211120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32336.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 211120113 is about 14529.9729180752. The cubic root of 211120113 is about 595.4471257217.

Adding to 211120113 its reverse (311021112), we get a palindrome (522141225).

Subtracting 211120113 from its reverse (311021112), we obtain a palindrome (99900999).

The spelling of 211120113 in words is "two hundred eleven million, one hundred twenty thousand, one hundred thirteen".