213334044000 has 576 divisors, whose sum is σ = 886920233472. Its totient is φ = 44327808000.

The previous prime is 213334043983. The next prime is 213334044029. The reversal of 213334044000 is 440433312.

213334044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213334044000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 6451509 + ... + 6484491.

It is an arithmetic number, because the mean of its divisors is an integer number (1539792072).

Almost surely, 2^213334044000 is an apocalyptic number.

213334044000 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 213334044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443460116736).

213334044000 is an abundant number, since it is smaller than the sum of its proper divisors (673586189472).

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

213334044000 is a wasteful number, since it uses less digits than its factorization.

213334044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33036 (or 33011 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213334044000 its reverse (440433312), we get a palindrome (213774477312).

The spelling of 213334044000 in words is "two hundred thirteen billion, three hundred thirty-four million, forty-four thousand".