231200221113000 has 384 divisors, whose sum is σ = 786107799360000. Its totient is φ = 61286696409600.

The previous prime is 231200221112957. The next prime is 231200221113023. The reversal of 231200221113000 is 311122002132.

231200221113000 is a `hidden beast` number, since 2 + 31 + 200 + 22 + 111 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4699262401 + ... + 4699311599.

It is an arithmetic number, because the mean of its divisors is an integer number (2047155727500).

Almost surely, 2^{231200221113000} is an apocalyptic number.

231200221113000 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 231200221113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393053899680000).

231200221113000 is an abundant number, since it is smaller than the sum of its proper divisors (554907578247000).

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

231200221113000 is a wasteful number, since it uses less digits than its factorization.

231200221113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52322 (or 52305 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231200221113000 its reverse (311122002132), we get a palindrome (231511343115132).

The spelling of 231200221113000 in words is "two hundred thirty-one trillion, two hundred billion, two hundred twenty-one million, one hundred thirteen thousand".