23131223233200 has 600 divisors, whose sum is σ = 83702645254800. Its totient is φ = 6117501265920.

The previous prime is 23131223233199. The next prime is 23131223233229. The reversal of 23131223233200 is 233232213132.

23131223233200 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 223 + 233 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2256039274 + ... + 2256049526.

It is an arithmetic number, because the mean of its divisors is an integer number (139504408758).

Almost surely, 2^{23131223233200} is an apocalyptic number.

23131223233200 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 23131223233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41851322627400).

23131223233200 is an abundant number, since it is smaller than the sum of its proper divisors (60571422021600).

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

23131223233200 is a wasteful number, since it uses less digits than its factorization.

23131223233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10851 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23131223233200 its reverse (233232213132), we get a palindrome (23364455446332).

The spelling of 23131223233200 in words is "twenty-three trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred thirty-three thousand, two hundred".