213200123024 has 80 divisors (see below), whose sum is σ = 480009444096. Its totient is φ = 89839065600.

The previous prime is 213200123011. The next prime is 213200123029. The reversal of 213200123024 is 420321002312.

213200123024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213200122987 and 213200123005.

It is not an unprimeable number, because it can be changed into a prime (213200123029) 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 15 ways as a sum of consecutive naturals, for example, 26100989 + ... + 26109155.

Almost surely, 2^213200123024 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 213200123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240004722048).

213200123024 is an abundant number, since it is smaller than the sum of its proper divisors (266809321072).

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

213200123024 is a wasteful number, since it uses less digits than its factorization.

213200123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213200123024 its reverse (420321002312), we get a palindrome (633521125336).

The spelling of 213200123024 in words is "two hundred thirteen billion, two hundred million, one hundred twenty-three thousand, twenty-four".