211113220111300 has 144 divisors (see below), whose sum is σ = 493912825528192. Its totient is φ = 77861455027200.

The previous prime is 211113220111217. The next prime is 211113220111319. The reversal of 211113220111300 is 3111022311112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6175954009 + ... + 6175988191.

Almost surely, 2^{211113220111300} is an apocalyptic number.

211113220111300 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 211113220111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246956412764096).

211113220111300 is an abundant number, since it is smaller than the sum of its proper divisors (282799605416892).

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

211113220111300 is a wasteful number, since it uses less digits than its factorization.

211113220111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39438 (or 39431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 211113220111300 its reverse (3111022311112), we get a palindrome (214224242422412).

The spelling of 211113220111300 in words is "two hundred eleven trillion, one hundred thirteen billion, two hundred twenty million, one hundred eleven thousand, three hundred".