211301313300000 has 1296 divisors, whose sum is σ = 953112490896384. Its totient is φ = 43906665600000.

The previous prime is 211301313299899. The next prime is 211301313300023. The reversal of 211301313300000 is 3313103112.

It is a happy number.

211301313300000 is a `hidden beast` number, since 2 + 1 + 1 + 301 + 31 + 330 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 215 ways as a sum of consecutive naturals, for example, 484882209 + ... + 485317791.

It is an arithmetic number, because the mean of its divisors is an integer number (735426304704).

Almost surely, 2^{211301313300000} is an apocalyptic number.

211301313300000 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 211301313300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476556245448192).

211301313300000 is an abundant number, since it is smaller than the sum of its proper divisors (741811177596384).

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

211301313300000 is a wasteful number, since it uses less digits than its factorization.

211301313300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435649 (or 435611 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211301313300000 its reverse (3313103112), we get a palindrome (211304626403112).

The spelling of 211301313300000 in words is "two hundred eleven trillion, three hundred one billion, three hundred thirteen million, three hundred thousand".