211013303200 has 144 divisors (see below), whose sum is σ = 609028519680. Its totient is φ = 69852625920.

The previous prime is 211013303191. The next prime is 211013303231. The reversal of 211013303200 is 2303310112.

211013303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211013303200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487272 + ... + 812071.

It is an arithmetic number, because the mean of its divisors is an integer number (4229364720).

Almost surely, 2^211013303200 is an apocalyptic number.

211013303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211013303200 is an abundant number, since it is smaller than the sum of its proper divisors (398015216480).

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

211013303200 is a wasteful number, since it uses less digits than its factorization.

211013303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299399 (or 1299386 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 211013303200 its reverse (2303310112), we get a palindrome (213316613312).

The spelling of 211013303200 in words is "two hundred eleven billion, thirteen million, three hundred three thousand, two hundred".