211113301320 has 128 divisors (see below), whose sum is σ = 704861193600. Its totient is φ = 56204865792.

The previous prime is 211113301291. The next prime is 211113301367. The reversal of 211113301320 is 23103311112.

211113301320 is a `hidden beast` number, since 2 + 1 + 1 + 11 + 330 + 1 + 320 = 666.

It is a super-2 number, since 2×211113301320² (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 = 211113301293 and 211113301302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 502599 + ... + 821481.

It is an arithmetic number, because the mean of its divisors is an integer number (5506728075).

Almost surely, 2^211113301320 is an apocalyptic number.

211113301320 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 211113301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352430596800).

211113301320 is an abundant number, since it is smaller than the sum of its proper divisors (493747892280).

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

211113301320 is a wasteful number, since it uses less digits than its factorization.

211113301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319516 (or 319506 counting only the distinct ones).

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

Adding to 211113301320 its reverse (23103311112), we get a palindrome (234216612432).

The spelling of 211113301320 in words is "two hundred eleven billion, one hundred thirteen million, three hundred one thousand, three hundred twenty".