213000240000 has 640 divisors, whose sum is σ = 754354529280. Its totient is φ = 53109760000.

The previous prime is 213000239989. The next prime is 213000240041. The reversal of 213000240000 is 42000312.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259439590 + ... + 259440410.

It is an arithmetic number, because the mean of its divisors is an integer number (1178678952).

Almost surely, 2^213000240000 is an apocalyptic number.

213000240000 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 213000240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377177264640).

213000240000 is an abundant number, since it is smaller than the sum of its proper divisors (541354289280).

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

213000240000 is an equidigital number, since it uses as much as digits as its factorization.

213000240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 213000240000 its reverse (42000312), we get a palindrome (213042240312).

The spelling of 213000240000 in words is "two hundred thirteen billion, two hundred forty thousand".