213312223200 has 72 divisors (see below), whose sum is σ = 694331294328. Its totient is φ = 56883258880.

The previous prime is 213312223171. The next prime is 213312223301. The reversal of 213312223200 is 2322213312.

It is a happy number.

213312223200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 44437647 + ... + 44442446.

It is an arithmetic number, because the mean of its divisors is an integer number (9643490199).

Almost surely, 2^213312223200 is an apocalyptic number.

213312223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312223200 is an abundant number, since it is smaller than the sum of its proper divisors (481019071128).

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

213312223200 is a wasteful number, since it uses less digits than its factorization.

213312223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88880116 (or 88880103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213312223200 its reverse (2322213312), we get a palindrome (215634436512).

The spelling of 213312223200 in words is "two hundred thirteen billion, three hundred twelve million, two hundred twenty-three thousand, two hundred".