213200011200000 has 960 divisors, whose sum is σ = 782153641463040. Its totient is φ = 51171840000000.

The previous prime is 213200011199869. The next prime is 213200011200017. The reversal of 213200011200000 is 2110002312.

213200011200000 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5332780011 + ... + 5332819989.

It is an arithmetic number, because the mean of its divisors is an integer number (814743376524).

Almost surely, 2^{213200011200000} is an apocalyptic number.

213200011200000 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 213200011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391076820731520).

213200011200000 is an abundant number, since it is smaller than the sum of its proper divisors (568953630263040).

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

213200011200000 is an equidigital number, since it uses as much as digits as its factorization.

213200011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40137 (or 40101 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213200011200000 its reverse (2110002312), we get a palindrome (213202121202312).

The spelling of 213200011200000 in words is "two hundred thirteen trillion, two hundred billion, eleven million, two hundred thousand".