213200101120 has 72 divisors (see below), whose sum is σ = 510890400720. Its totient is φ = 85245050880.

The previous prime is 213200101097. The next prime is 213200101133. The reversal of 213200101120 is 21101002312.

213200101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213200101120.

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 7 ways as a sum of consecutive naturals, for example, 3206776 + ... + 3272584.

It is an arithmetic number, because the mean of its divisors is an integer number (7095700010).

Almost surely, 2^213200101120 is an apocalyptic number.

213200101120 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 213200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255445200360).

213200101120 is an abundant number, since it is smaller than the sum of its proper divisors (297690299600).

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

213200101120 is an equidigital number, since it uses as much as digits as its factorization.

213200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68361 (or 68347 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213200101120 its reverse (21101002312), we get a palindrome (234301103432).

The spelling of 213200101120 in words is "two hundred thirteen billion, two hundred million, one hundred one thousand, one hundred twenty".