213312300032 has 176 divisors, whose sum is σ = 467973676800. Its totient is φ = 96589086720.

The previous prime is 213312300031. The next prime is 213312300041. The reversal of 213312300032 is 230003213312.

213312300032 is digitally balanced in base 3, 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 = 213312299977 and 213312300013.

It is not an unprimeable number, because it can be changed into a prime (213312300031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254245469 + ... + 254246307.

Almost surely, 2^213312300032 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 213312300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233986838400).

213312300032 is an abundant number, since it is smaller than the sum of its proper divisors (254661376768).

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

213312300032 is a wasteful number, since it uses less digits than its factorization.

213312300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213312300032 its reverse (230003213312), we get a palindrome (443315513344).

The spelling of 213312300032 in words is "two hundred thirteen billion, three hundred twelve million, three hundred thousand, thirty-two".