211131133020 has 72 divisors (see below), whose sum is σ = 651285900720. Its totient is φ = 55347367680.

The previous prime is 211131133001. The next prime is 211131133027. The reversal of 211131133020 is 20331131112.

211131133020 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 311 + 330 + 20 = 666.

211131133020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 211131132984 and 211131133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131133027) 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 23 ways as a sum of consecutive naturals, for example, 9929641 + ... + 9950880.

It is an arithmetic number, because the mean of its divisors is an integer number (9045637510).

Almost surely, 2^211131133020 is an apocalyptic number.

211131133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131133020 is an abundant number, since it is smaller than the sum of its proper divisors (440154767700).

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

211131133020 is a wasteful number, since it uses less digits than its factorization.

211131133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19880595 (or 19880590 counting only the distinct ones).

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

Adding to 211131133020 its reverse (20331131112), we get a palindrome (231462264132).

The spelling of 211131133020 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred thirty-three thousand, twenty".