211331311020 has 144 divisors (see below), whose sum is σ = 691235606880. Its totient is φ = 52086758400.

The previous prime is 211331310991. The next prime is 211331311049. The reversal of 211331311020 is 20113133112.

211331311020 is a `hidden beast` number, since 2 + 1 + 1 + 331 + 311 + 0 + 20 = 666.

211331311020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211331310991) and next prime (211331311049).

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 = 211331310984 and 211331311002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613351 + ... + 893790.

It is an arithmetic number, because the mean of its divisors is an integer number (4800247270).

Almost surely, 2^211331311020 is an apocalyptic number.

211331311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211331311020 is an abundant number, since it is smaller than the sum of its proper divisors (479904295860).

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

211331311020 is a wasteful number, since it uses less digits than its factorization.

211331311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507216 (or 1507211 counting only the distinct ones).

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

Adding to 211331311020 its reverse (20113133112), we get a palindrome (231444444132).

The spelling of 211331311020 in words is "two hundred eleven billion, three hundred thirty-one million, three hundred eleven thousand, twenty".