211301310220 has 288 divisors, whose sum is σ = 601627751424. Its totient is φ = 60659089920.

The previous prime is 211301310217. The next prime is 211301310221. The reversal of 211301310220 is 22013103112.

It is a junction number, because it is equal to n+sod(n) for n = 211301310194 and 211301310203.

It is not an unprimeable number, because it can be changed into a prime (211301310221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142481599 + ... + 142483081.

It is an arithmetic number, because the mean of its divisors is an integer number (2088985248).

Almost surely, 2^211301310220 is an apocalyptic number.

211301310220 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 211301310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300813875712).

211301310220 is an abundant number, since it is smaller than the sum of its proper divisors (390326441204).

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

211301310220 is a wasteful number, since it uses less digits than its factorization.

211301310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211301310220 its reverse (22013103112), we get a palindrome (233314413332).

The spelling of 211301310220 in words is "two hundred eleven billion, three hundred one million, three hundred ten thousand, two hundred twenty".