213232002000 has 160 divisors (see below), whose sum is σ = 687693437184. Its totient is φ = 56842560000.

The previous prime is 213232001977. The next prime is 213232002001. The reversal of 213232002000 is 200232312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30602517 + ... + 30609483.

Almost surely, 2^213232002000 is an apocalyptic number.

213232002000 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 213232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343846718592).

213232002000 is an abundant number, since it is smaller than the sum of its proper divisors (474461435184).

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

213232002000 is a wasteful number, since it uses less digits than its factorization.

213232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213232002000 its reverse (200232312), we get a palindrome (213432234312).

The spelling of 213232002000 in words is "two hundred thirteen billion, two hundred thirty-two million, two thousand".