213031233000 has 192 divisors, whose sum is σ = 762401736720. Its totient is φ = 53466624000.

The previous prime is 213031232993. The next prime is 213031233001. The reversal of 213031233000 is 332130312.

213031233000 is a `hidden beast` number, since 21 + 3 + 0 + 312 + 330 + 0 + 0 = 666.

213031233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34442163396 + 178589069604 = 185586^2 + 422598^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213031233001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 543181 + ... + 849180.

Almost surely, 2^213031233000 is an apocalyptic number.

213031233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213031233000 is an abundant number, since it is smaller than the sum of its proper divisors (549370503720).

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

213031233000 is a wasteful number, since it uses less digits than its factorization.

213031233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392405 (or 1392388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213031233000 its reverse (332130312), we get a palindrome (213363363312).

The spelling of 213031233000 in words is "two hundred thirteen billion, thirty-one million, two hundred thirty-three thousand".