213366806100 has 864 divisors, whose sum is σ = 843516011520. Its totient is φ = 45696752640.

The previous prime is 213366806099. The next prime is 213366806167. The reversal of 213366806100 is 1608663312.

213366806100 is a `hidden beast` number, since 2 + 1 + 3 + 36 + 6 + 8 + 0 + 610 + 0 = 666.

213366806100 is digitally balanced in base 2, 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 (36).

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 287 ways as a sum of consecutive naturals, for example, 345812992 + ... + 345813608.

It is an arithmetic number, because the mean of its divisors is an integer number (976291680).

Almost surely, 2^213366806100 is an apocalyptic number.

213366806100 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 213366806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421758005760).

213366806100 is an abundant number, since it is smaller than the sum of its proper divisors (630149205420).

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

213366806100 is a wasteful number, since it uses less digits than its factorization.

213366806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 213366806100 in words is "two hundred thirteen billion, three hundred sixty-six million, eight hundred six thousand, one hundred".