213432011000 has 128 divisors (see below), whose sum is σ = 538325948160. Its totient is φ = 78735744000.

The previous prime is 213432010951. The next prime is 213432011099. The reversal of 213432011000 is 110234312.

It is a self number, because there is not a number n which added to its sum of digits gives 213432011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15996332 + ... + 16009668.

It is an arithmetic number, because the mean of its divisors is an integer number (4205671470).

Almost surely, 2^213432011000 is an apocalyptic number.

213432011000 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 213432011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269162974080).

213432011000 is an abundant number, since it is smaller than the sum of its proper divisors (324893937160).

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

213432011000 is a wasteful number, since it uses less digits than its factorization.

213432011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 213432011000 its reverse (110234312), we get a palindrome (213542245312).

The spelling of 213432011000 in words is "two hundred thirteen billion, four hundred thirty-two million, eleven thousand".