231101321233200 has 480 divisors, whose sum is σ = 816823250680320. Its totient is φ = 55384554086400.

The previous prime is 231101321233157. The next prime is 231101321233241. The reversal of 231101321233200 is 2332123101132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7451740894 + ... + 7451771906.

It is an arithmetic number, because the mean of its divisors is an integer number (1701715105584).

Almost surely, 2^{231101321233200} is an apocalyptic number.

231101321233200 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 231101321233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408411625340160).

231101321233200 is an abundant number, since it is smaller than the sum of its proper divisors (585721929447120).

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

231101321233200 is a wasteful number, since it uses less digits than its factorization.

231101321233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37477 (or 37466 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 231101321233200 its reverse (2332123101132), we get a palindrome (233433444334332).

The spelling of 231101321233200 in words is "two hundred thirty-one trillion, one hundred one billion, three hundred twenty-one million, two hundred thirty-three thousand, two hundred".