213132322032 has 160 divisors (see below), whose sum is σ = 643527573504. Its totient is φ = 59516640000.

The previous prime is 213132322019. The next prime is 213132322033. The reversal of 213132322032 is 230223231312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213132321993 and 213132322011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132322033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11850807 + ... + 11868777.

Almost surely, 2^213132322032 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 213132322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321763786752).

213132322032 is an abundant number, since it is smaller than the sum of its proper divisors (430395251472).

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

213132322032 is a wasteful number, since it uses less digits than its factorization.

213132322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18787 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213132322032 its reverse (230223231312), we get a palindrome (443355553344).

The spelling of 213132322032 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twenty-two thousand, thirty-two".