213332333121000 has 768 divisors, whose sum is σ = 786637253376000. Its totient is φ = 53442223027200.

The previous prime is 213332333120947. The next prime is 213332333121097. The reversal of 213332333121000 is 121333233312.

213332333121000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 323 + 331 + 2 + 1 + 0 + 0 + 0 = 666.

213332333121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 840032041 + ... + 840285959.

It is an arithmetic number, because the mean of its divisors is an integer number (1024267257000).

Almost surely, 2^{213332333121000} is an apocalyptic number.

213332333121000 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 213332333121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393318626688000).

213332333121000 is an abundant number, since it is smaller than the sum of its proper divisors (573304920255000).

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

213332333121000 is a wasteful number, since it uses less digits than its factorization.

213332333121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254044 (or 253995 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213332333121000 its reverse (121333233312), we get a palindrome (213453666354312).

The spelling of 213332333121000 in words is "two hundred thirteen trillion, three hundred thirty-two billion, three hundred thirty-three million, one hundred twenty-one thousand".