213331233000 has 256 divisors, whose sum is σ = 713311971840. Its totient is φ = 52943616000.

The previous prime is 213331232993. The next prime is 213331233007. The reversal of 213331233000 is 332133312.

It is an interprime number because it is at equal distance from previous prime (213331232993) and next prime (213331233007).

It is not an unprimeable number, because it can be changed into a prime (213331233007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2511220 + ... + 2594780.

It is an arithmetic number, because the mean of its divisors is an integer number (2786374890).

Almost surely, 2^213331233000 is an apocalyptic number.

213331233000 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 213331233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356655985920).

213331233000 is an abundant number, since it is smaller than the sum of its proper divisors (499980738840).

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

213331233000 is a wasteful number, since it uses less digits than its factorization.

213331233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83645 (or 83631 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213331233000 its reverse (332133312), we get a palindrome (213663366312).

The spelling of 213331233000 in words is "two hundred thirteen billion, three hundred thirty-one million, two hundred thirty-three thousand".