213430334140 has 96 divisors (see below), whose sum is σ = 457574261760. Its totient is φ = 83609231616.

The previous prime is 213430334099. The next prime is 213430334141. The reversal of 213430334140 is 41433034312.

213430334140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213430334140³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 213430334099 and 213430334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213430334141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149985469 + ... + 149986891.

It is an arithmetic number, because the mean of its divisors is an integer number (4766398560).

Almost surely, 2^213430334140 is an apocalyptic number.

213430334140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213430334140 is an abundant number, since it is smaller than the sum of its proper divisors (244143927620).

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

213430334140 is a wasteful number, since it uses less digits than its factorization.

213430334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213430334140 its reverse (41433034312), we get a palindrome (254863368452).

The spelling of 213430334140 in words is "two hundred thirteen billion, four hundred thirty million, three hundred thirty-four thousand, one hundred forty".