213203230032 has 160 divisors (see below), whose sum is σ = 596361830400. Its totient is φ = 65245902336.

The previous prime is 213203229997. The next prime is 213203230043. The reversal of 213203230032 is 230032302312.

213203230032 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 = 213203229990 and 213203230008.

It is a congruent number.

It is an unprimeable number.

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, 148159969 + ... + 148161407.

It is an arithmetic number, because the mean of its divisors is an integer number (3727261440).

Almost surely, 2^213203230032 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 213203230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298180915200).

213203230032 is an abundant number, since it is smaller than the sum of its proper divisors (383158600368).

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

213203230032 is a wasteful number, since it uses less digits than its factorization.

213203230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213203230032 its reverse (230032302312), we get a palindrome (443235532344).

The spelling of 213203230032 in words is "two hundred thirteen billion, two hundred three million, two hundred thirty thousand, thirty-two".