211200013300 has 72 divisors (see below), whose sum is σ = 470172094560. Its totient is φ = 82318243200.

The previous prime is 211200013267. The next prime is 211200013303. The reversal of 211200013300 is 3310002112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200013303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 490911 + ... + 814489.

It is an arithmetic number, because the mean of its divisors is an integer number (6530167980).

Almost surely, 2^211200013300 is an apocalyptic number.

211200013300 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 211200013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235086047280).

211200013300 is an abundant number, since it is smaller than the sum of its proper divisors (258972081260).

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

211200013300 is a wasteful number, since it uses less digits than its factorization.

211200013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323761 (or 323754 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 211200013300 its reverse (3310002112), we get a palindrome (214510015412).

The spelling of 211200013300 in words is "two hundred eleven billion, two hundred million, thirteen thousand, three hundred".