213312000000 has 728 divisors, whose sum is σ = 783254349216. Its totient is φ = 51200000000.

The previous prime is 213311999959. The next prime is 213312000007. The reversal of 213312000000 is 213312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213312000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2111999950 + ... + 2112000050.

Almost surely, 2^213312000000 is an apocalyptic number.

213312000000 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 213312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391627174608).

213312000000 is an abundant number, since it is smaller than the sum of its proper divisors (569942349216).

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

213312000000 is an frugal number, since it uses more digits than its factorization.

213312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213312000000 its reverse (213312), we get a palindrome (213312213312).

213312000000 divided by its reverse (213312) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 213 and 312000000, that added together give a palindrome (312000213).

The spelling of 213312000000 in words is "two hundred thirteen billion, three hundred twelve million", and thus it is an aban number.