213211200322032 has 160 divisors (see below), whose sum is σ = 609518190124800. Its totient is φ = 63685939200000.

The previous prime is 213211200321887. The next prime is 213211200322103. The reversal of 213211200322032 is 230223002112312.

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 = 213211200321993 and 213211200322011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37969 + ... + 20650032.

It is an arithmetic number, because the mean of its divisors is an integer number (3809488688280).

Almost surely, 2^{213211200322032} is an apocalyptic number.

213211200322032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213211200322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304759095062400).

213211200322032 is an abundant number, since it is smaller than the sum of its proper divisors (396306989802768).

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

213211200322032 is a wasteful number, since it uses less digits than its factorization.

213211200322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20688303 (or 20688297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213211200322032 its reverse (230223002112312), we get a palindrome (443434202434344).

The spelling of 213211200322032 in words is "two hundred thirteen trillion, two hundred eleven billion, two hundred million, three hundred twenty-two thousand, thirty-two".