213330312333000 has 512 divisors, whose sum is σ = 771921266688000. Its totient is φ = 54399031315200.

The previous prime is 213330312332953. The next prime is 213330312333013. The reversal of 213330312333000 is 333213033312.

213330312333000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 303 + 1 + 23 + 330 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2239899381 + ... + 2239994619.

It is an arithmetic number, because the mean of its divisors is an integer number (1507658724000).

Almost surely, 2^{213330312333000} is an apocalyptic number.

213330312333000 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 213330312333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385960633344000).

213330312333000 is an abundant number, since it is smaller than the sum of its proper divisors (558590954355000).

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

213330312333000 is a wasteful number, since it uses less digits than its factorization.

213330312333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98899 (or 98879 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 213330312333000 its reverse (333213033312), we get a palindrome (213663525366312).

The spelling of 213330312333000 in words is "two hundred thirteen trillion, three hundred thirty billion, three hundred twelve million, three hundred thirty-three thousand".