213424025324136 has 256 divisors, whose sum is σ = 599729326560000. Its totient is φ = 62730711859200.

The previous prime is 213424025324123. The next prime is 213424025324137. The reversal of 213424025324136 is 631423520424312.

It is not an unprimeable number, because it can be changed into a prime (213424025324137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1287550990 + ... + 1287716738.

It is an arithmetic number, because the mean of its divisors is an integer number (2342692681875).

Almost surely, 2^{213424025324136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213424025324136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299864663280000).

213424025324136 is an abundant number, since it is smaller than the sum of its proper divisors (386305301235864).

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

213424025324136 is a wasteful number, since it uses less digits than its factorization.

213424025324136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166500 (or 166496 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 213424025324136 its reverse (631423520424312), we get a palindrome (844847545748448).

The spelling of 213424025324136 in words is "two hundred thirteen trillion, four hundred twenty-four billion, twenty-five million, three hundred twenty-four thousand, one hundred thirty-six".