211133320020 has 288 divisors, whose sum is σ = 784327235328. Its totient is φ = 44872667136.

The previous prime is 211133320001. The next prime is 211133320031. The reversal of 211133320020 is 20023331112.

211133320020 is a `hidden beast` number, since 2 + 111 + 333 + 200 + 20 = 666.

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 = 211133319975 and 211133320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718482 + ... + 1837238.

It is an arithmetic number, because the mean of its divisors is an integer number (2723358456).

Almost surely, 2^211133320020 is an apocalyptic number.

211133320020 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 211133320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392163617664).

211133320020 is an abundant number, since it is smaller than the sum of its proper divisors (573193915308).

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

211133320020 is a wasteful number, since it uses less digits than its factorization.

211133320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118879 (or 118874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211133320020 its reverse (20023331112), we get a palindrome (231156651132).

The spelling of 211133320020 in words is "two hundred eleven billion, one hundred thirty-three million, three hundred twenty thousand, twenty".