213313032000 has 168 divisors, whose sum is σ = 763056525192. Its totient is φ = 56883456000.

The previous prime is 213313031989. The next prime is 213313032043. The reversal of 213313032000 is 230313312.

213313032000 is a `hidden beast` number, since 213 + 3 + 130 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24171542784 + 189141489216 = 155472^2 + 434904^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1409341 + ... + 1553340.

Almost surely, 2^213313032000 is an apocalyptic number.

213313032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313032000 is an abundant number, since it is smaller than the sum of its proper divisors (549743493192).

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

213313032000 is a wasteful number, since it uses less digits than its factorization.

213313032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962714 (or 2962691 counting only the distinct ones).

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

Adding to 213313032000 its reverse (230313312), we get a palindrome (213543345312).

The spelling of 213313032000 in words is "two hundred thirteen billion, three hundred thirteen million, thirty-two thousand".