211313133010200 has 384 divisors, whose sum is σ = 722512006272000. Its totient is φ = 50764578078720.

The previous prime is 211313133010139. The next prime is 211313133010211. The reversal of 211313133010200 is 2010331313112.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 128593351 + ... + 130226249.

It is an arithmetic number, because the mean of its divisors is an integer number (1881541683000).

Almost surely, 2^{211313133010200} is an apocalyptic number.

211313133010200 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 211313133010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361256003136000).

211313133010200 is an abundant number, since it is smaller than the sum of its proper divisors (511198873261800).

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

211313133010200 is a wasteful number, since it uses less digits than its factorization.

211313133010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633331 (or 1633322 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211313133010200 its reverse (2010331313112), we get a palindrome (213323464323312).

The spelling of 211313133010200 in words is "two hundred eleven trillion, three hundred thirteen billion, one hundred thirty-three million, ten thousand, two hundred".