213335443104 has 768 divisors, whose sum is σ = 751910584320. Its totient is φ = 51458457600.

The previous prime is 213335443051. The next prime is 213335443109. The reversal of 213335443104 is 401344533312.

It is a super-2 number, since 2×213335443104² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213335443109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753835347 + ... + 753835629.

It is an arithmetic number, because the mean of its divisors is an integer number (979050240).

Almost surely, 2^213335443104 is an apocalyptic number.

213335443104 is a gapful number since it is divisible by the number (24) 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 213335443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375955292160).

213335443104 is an abundant number, since it is smaller than the sum of its proper divisors (538575141216).

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

213335443104 is a wasteful number, since it uses less digits than its factorization.

213335443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 213335443104 its reverse (401344533312), we get a palindrome (614679976416).

The spelling of 213335443104 in words is "two hundred thirteen billion, three hundred thirty-five million, four hundred forty-three thousand, one hundred four".