213302213120000 has 520 divisors, whose sum is σ = 550504712102400. Its totient is φ = 82563137536000.

The previous prime is 213302213119997. The next prime is 213302213120119. The reversal of 213302213120000 is 21312203312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 10708470041 + ... + 10708489959.

Almost surely, 2^{213302213120000} is an apocalyptic number.

213302213120000 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 213302213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275252356051200).

213302213120000 is an abundant number, since it is smaller than the sum of its proper divisors (337202498982400).

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

213302213120000 is an frugal number, since it uses more digits than its factorization.

213302213120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213302213120000 its reverse (21312203312), we get a palindrome (213323525323312).

The spelling of 213302213120000 in words is "two hundred thirteen trillion, three hundred two billion, two hundred thirteen million, one hundred twenty thousand".