213320112000 has 128 divisors (see below), whose sum is σ = 707156330400. Its totient is φ = 56885350400.

The previous prime is 213320111987. The next prime is 213320112053. The reversal of 213320112000 is 211023312.

213320112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 2174085 + ... + 2270084.

Almost surely, 2^213320112000 is an apocalyptic number.

213320112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320112000 is an abundant number, since it is smaller than the sum of its proper divisors (493836218400).

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

213320112000 is an equidigital number, since it uses as much as digits as its factorization.

213320112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444201 (or 4444179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213320112000 its reverse (211023312), we get a palindrome (213531135312).

The spelling of 213320112000 in words is "two hundred thirteen billion, three hundred twenty million, one hundred twelve thousand".