213108235200 has 1344 divisors, whose sum is σ = 928854835200. Its totient is φ = 46506700800.

The previous prime is 213108235199. The next prime is 213108235283. The reversal of 213108235200 is 2532801312.

213108235200 is a `hidden beast` number, since 2 + 13 + 108 + 23 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1190548711 + ... + 1190548889.

Almost surely, 2^213108235200 is an apocalyptic number.

213108235200 is a gapful number since it is divisible by the number (20) 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 213108235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464427417600).

213108235200 is an abundant number, since it is smaller than the sum of its proper divisors (715746600000).

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

213108235200 is a wasteful number, since it uses less digits than its factorization.

213108235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 213108235200 in words is "two hundred thirteen billion, one hundred eight million, two hundred thirty-five thousand, two hundred".