213000230000 has 100 divisors (see below), whose sum is σ = 516020857968. Its totient is φ = 85146240000.

The previous prime is 213000229987. The next prime is 213000230011. The reversal of 213000230000 is 32000312.

213000230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 18304184 + ... + 18315816.

Almost surely, 2^213000230000 is an apocalyptic number.

213000230000 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 213000230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258010428984).

213000230000 is an abundant number, since it is smaller than the sum of its proper divisors (303020627968).

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

213000230000 is a wasteful number, since it uses less digits than its factorization.

213000230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13492 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 213000230000 its reverse (32000312), we get a palindrome (213032230312).

The spelling of 213000230000 in words is "two hundred thirteen billion, two hundred thirty thousand".