213333011100 has 216 divisors, whose sum is σ = 730680389712. Its totient is φ = 51631257600.

The previous prime is 213333011071. The next prime is 213333011117. The reversal of 213333011100 is 1110333312.

It is a happy number.

213333011100 is a `hidden beast` number, since 21 + 333 + 301 + 1 + 10 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6051124 + ... + 6086276.

It is an arithmetic number, because the mean of its divisors is an integer number (3382779582).

Almost surely, 2^213333011100 is an apocalyptic number.

213333011100 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 213333011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365340194856).

213333011100 is an abundant number, since it is smaller than the sum of its proper divisors (517347378612).

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

213333011100 is a wasteful number, since it uses less digits than its factorization.

213333011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35797 (or 35787 counting only the distinct ones).

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

Adding to 213333011100 its reverse (1110333312), we get a palindrome (214443344412).

The spelling of 213333011100 in words is "two hundred thirteen billion, three hundred thirty-three million, eleven thousand, one hundred".