213110042200 has 96 divisors (see below), whose sum is σ = 543087472320. Its totient is φ = 77127120000.

The previous prime is 213110042183. The next prime is 213110042203. The reversal of 213110042200 is 2240011312.

213110042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213110042203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 234655 + ... + 693745.

It is an arithmetic number, because the mean of its divisors is an integer number (5657161170).

Almost surely, 2^213110042200 is an apocalyptic number.

213110042200 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 213110042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271543736160).

213110042200 is an abundant number, since it is smaller than the sum of its proper divisors (329977430120).

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

213110042200 is a wasteful number, since it uses less digits than its factorization.

213110042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459329 (or 459320 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213110042200 its reverse (2240011312), we get a palindrome (215350053512).

The spelling of 213110042200 in words is "two hundred thirteen billion, one hundred ten million, forty-two thousand, two hundred".