23011131010000 has 200 divisors, whose sum is σ = 63700419340800. Its totient is φ = 7885902912000.

The previous prime is 23011131009949. The next prime is 23011131010033. The reversal of 23011131010000 is 1013111032.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154415526 + ... + 154564474.

It is an arithmetic number, because the mean of its divisors is an integer number (318502096704).

Almost surely, 2^{23011131010000} is an apocalyptic number.

23011131010000 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 23011131010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31850209670400).

23011131010000 is an abundant number, since it is smaller than the sum of its proper divisors (40689288330800).

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

23011131010000 is a wasteful number, since it uses less digits than its factorization.

23011131010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151191 (or 151170 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 23011131010000 its reverse (1013111032), we get a palindrome (23012144121032).

The spelling of 23011131010000 in words is "twenty-three trillion, eleven billion, one hundred thirty-one million, ten thousand".