211011311 has 8 divisors (see below), whose sum is σ = 241270560. Its totient is φ = 180780768.

The previous prime is 211011299. The next prime is 211011331. The reversal of 211011311 is 113110112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211011311 - 2¹⁰ = 211010287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211011292 and 211011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011331) 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 7 ways as a sum of consecutive naturals, for example, 12005 + ... + 23793.

It is an arithmetic number, because the mean of its divisors is an integer number (30158820).

Almost surely, 2^211011311 is an apocalyptic number.

211011311 is a deficient number, since it is larger than the sum of its proper divisors (30259249).

211011311 is a wasteful number, since it uses less digits than its factorization.

211011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 211011311 is about 14526.2283817927. The cubic root of 211011311 is about 595.3448190779.

Adding to 211011311 its reverse (113110112), we get a palindrome (324121423).

The spelling of 211011311 in words is "two hundred eleven million, eleven thousand, three hundred eleven".