213431140000 has 240 divisors, whose sum is σ = 572675685120. Its totient is φ = 77800320000.

The previous prime is 213431139959. The next prime is 213431140003. The reversal of 213431140000 is 41134312.

It is a self number, because there is not a number n which added to its sum of digits gives 213431140000.

It is not an unprimeable number, because it can be changed into a prime (213431140003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20534805 + ... + 20545195.

It is an arithmetic number, because the mean of its divisors is an integer number (2386148688).

Almost surely, 2^213431140000 is an apocalyptic number.

213431140000 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 213431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286337842560).

213431140000 is an abundant number, since it is smaller than the sum of its proper divisors (359244545120).

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

213431140000 is a wasteful number, since it uses less digits than its factorization.

213431140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213431140000 its reverse (41134312), we get a palindrome (213472274312).

The spelling of 213431140000 in words is "two hundred thirteen billion, four hundred thirty-one million, one hundred forty thousand".