213302112000 has 288 divisors, whose sum is σ = 709853761344. Its totient is φ = 56770560000.

The previous prime is 213302111977. The next prime is 213302112053. The reversal of 213302112000 is 211203312.

213302112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 57694152 + ... + 57697848.

Almost surely, 2^213302112000 is an apocalyptic number.

213302112000 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 213302112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354926880672).

213302112000 is an abundant number, since it is smaller than the sum of its proper divisors (496551649344).

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

213302112000 is an equidigital number, since it uses as much as digits as its factorization.

213302112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4308 counting only the distinct ones).

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

Adding to 213302112000 its reverse (211203312), we get a palindrome (213513315312).

The spelling of 213302112000 in words is "two hundred thirteen billion, three hundred two million, one hundred twelve thousand".