213130323000 has 384 divisors, whose sum is σ = 845552373120. Its totient is φ = 47398348800.

The previous prime is 213130322987. The next prime is 213130323013. The reversal of 213130323000 is 323031312.

213130323000 is a `hidden beast` number, since 2 + 131 + 303 + 230 + 0 + 0 = 666.

213130323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213130322987) and next prime (213130323013).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2285284 + ... + 2376716.

It is an arithmetic number, because the mean of its divisors is an integer number (2201959305).

Almost surely, 2^213130323000 is an apocalyptic number.

213130323000 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 213130323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422776186560).

213130323000 is an abundant number, since it is smaller than the sum of its proper divisors (632422050120).

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

213130323000 is a wasteful number, since it uses less digits than its factorization.

213130323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91504 (or 91487 counting only the distinct ones).

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

Adding to 213130323000 its reverse (323031312), we get a palindrome (213453354312).

It can be divided in two parts, 213130 and 323000, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 213130323000 in words is "two hundred thirteen billion, one hundred thirty million, three hundred twenty-three thousand".