211313112 has 32 divisors (see below), whose sum is σ = 545326080. Its totient is φ = 68165280.

The previous prime is 211313101. The next prime is 211313129.

It is a happy number.

211313112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211313091 and 211313100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141268 + ... + 142755.

It is an arithmetic number, because the mean of its divisors is an integer number (17041440).

Almost surely, 2^211313112 is an apocalyptic number.

It is an amenable number.

211313112 is an abundant number, since it is smaller than the sum of its proper divisors (334012968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211313112 is a wasteful number, since it uses less digits than its factorization.

211313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284063 (or 284059 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 211313112 is about 14536.6128104177. The cubic root of 211313112 is about 595.6285164587.

It can be divided in two parts, 2113 and 13112, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 211313112 in words is "two hundred eleven million, three hundred thirteen thousand, one hundred twelve".