23181117131088 has 400 divisors, whose sum is σ = 77214449030400. Its totient is φ = 6576964687872.

The previous prime is 23181117131057. The next prime is 23181117131089. The reversal of 23181117131088 is 88013171118132.

23181117131088 is a `hidden beast` number, since 2 + 3 + 181 + 11 + 71 + 310 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23181117131089) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 756326388 + ... + 756357036.

It is an arithmetic number, because the mean of its divisors is an integer number (193036122576).

Almost surely, 2^{23181117131088} is an apocalyptic number.

23181117131088 is a gapful number since it is divisible by the number (28) 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 23181117131088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607224515200).

23181117131088 is an abundant number, since it is smaller than the sum of its proper divisors (54033331899312).

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

23181117131088 is a wasteful number, since it uses less digits than its factorization.

23181117131088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 23181117131088 in words is "twenty-three trillion, one hundred eighty-one billion, one hundred seventeen million, one hundred thirty-one thousand, eighty-eight".