211313330100 has 216 divisors, whose sum is σ = 686547808128. Its totient is φ = 54327398400.

The previous prime is 211313330099. The next prime is 211313330117. The reversal of 211313330100 is 1033313112.

It is a happy number.

211313330100 is a `hidden beast` number, since 2 + 11 + 313 + 330 + 10 + 0 = 666.

211313330100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2796820 + ... + 2871380.

Almost surely, 2^211313330100 is an apocalyptic number.

211313330100 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 211313330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343273904064).

211313330100 is an abundant number, since it is smaller than the sum of its proper divisors (475234478028).

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

211313330100 is a wasteful number, since it uses less digits than its factorization.

211313330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74695 (or 74685 counting only the distinct ones).

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

Adding to 211313330100 its reverse (1033313112), we get a palindrome (212346643212).

The spelling of 211313330100 in words is "two hundred eleven billion, three hundred thirteen million, three hundred thirty thousand, one hundred".