211033113120 has 144 divisors (see below), whose sum is σ = 722714697432. Its totient is φ = 56075120640.

The previous prime is 211033113113. The next prime is 211033113121. The reversal of 211033113120 is 21311330112.

211033113120 is a `hidden beast` number, since 21 + 1 + 0 + 331 + 1 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114652668816 + 96380444304 = 338604^2 + 310452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211033113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211033113093 and 211033113102.

It is not an unprimeable number, because it can be changed into a prime (211033113121) 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 23 ways as a sum of consecutive naturals, for example, 143874 + ... + 665406.

Almost surely, 2^211033113120 is an apocalyptic number.

211033113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211033113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361357348716).

211033113120 is an abundant number, since it is smaller than the sum of its proper divisors (511681584312).

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

211033113120 is a wasteful number, since it uses less digits than its factorization.

211033113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521835 (or 521824 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211033113120 its reverse (21311330112), we get a palindrome (232344443232).

The spelling of 211033113120 in words is "two hundred eleven billion, thirty-three million, one hundred thirteen thousand, one hundred twenty".