23100133111000 has 192 divisors, whose sum is σ = 59991947346240. Its totient is φ = 8318490048000.

The previous prime is 23100133110991. The next prime is 23100133111021. The reversal of 23100133111000 is 11133100132.

It is a super-3 number, since 3×23100133111000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11536252 + ... + 13389748.

It is an arithmetic number, because the mean of its divisors is an integer number (312458059095).

Almost surely, 2^{23100133111000} is an apocalyptic number.

23100133111000 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 23100133111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29995973673120).

23100133111000 is an abundant number, since it is smaller than the sum of its proper divisors (36891814235240).

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

23100133111000 is a wasteful number, since it uses less digits than its factorization.

23100133111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853643 (or 1853618 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 23100133111000 its reverse (11133100132), we get a palindrome (23111266211132).

The spelling of 23100133111000 in words is "twenty-three trillion, one hundred billion, one hundred thirty-three million, one hundred eleven thousand".