23330100001000 has 192 divisors, whose sum is σ = 61021829606400. Its totient is φ = 8336311776000.

The previous prime is 23330100000989. The next prime is 23330100001099. The reversal of 23330100001000 is 10000103332.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 3012421 + ... + 7465579.

It is an arithmetic number, because the mean of its divisors is an integer number (317822029200).

Almost surely, 2^{23330100001000} is an apocalyptic number.

23330100001000 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 23330100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510914803200).

23330100001000 is an abundant number, since it is smaller than the sum of its proper divisors (37691729605400).

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

23330100001000 is a wasteful number, since it uses less digits than its factorization.

23330100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453237 (or 4453210 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 23330100001000 its reverse (10000103332), we get a palindrome (23340100104332).

The spelling of 23330100001000 in words is "twenty-three trillion, three hundred thirty billion, one hundred million, one thousand".