211313120 has 48 divisors (see below), whose sum is σ = 508667040. Its totient is φ = 82927104.

The previous prime is 211313101. The next prime is 211313129. The reversal of 211313120 is 21313112.

It is a junction number, because it is equal to n+sod(n) for n = 211313095 and 211313104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3980 + ... + 20939.

It is an arithmetic number, because the mean of its divisors is an integer number (10597230).

Almost surely, 2^211313120 is an apocalyptic number.

211313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313120 is an abundant number, since it is smaller than the sum of its proper divisors (297353920).

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

211313120 is a wasteful number, since it uses less digits than its factorization.

211313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987 (or 24979 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 211313120 is about 14536.6130855850. The cubic root of 211313120 is about 595.6285239753.

Adding to 211313120 its reverse (21313112), we get a palindrome (232626232).

The spelling of 211313120 in words is "two hundred eleven million, three hundred thirteen thousand, one hundred twenty".