213332100000 has 288 divisors, whose sum is σ = 707263607232. Its totient is φ = 56294400000.

The previous prime is 213332099993. The next prime is 213332100013. The reversal of 213332100000 is 1233312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29096335 + ... + 29103665.

It is an arithmetic number, because the mean of its divisors is an integer number (2455776414).

Almost surely, 2^213332100000 is an apocalyptic number.

213332100000 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 213332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353631803616).

213332100000 is an abundant number, since it is smaller than the sum of its proper divisors (493931507232).

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

213332100000 is an frugal number, since it uses more digits than its factorization.

213332100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213332100000 its reverse (1233312), we get a palindrome (213333333312).

The spelling of 213332100000 in words is "two hundred thirteen billion, three hundred thirty-two million, one hundred thousand".