23323133113000 has 256 divisors, whose sum is σ = 64082507074560. Its totient is φ = 7777461888000.

The previous prime is 23323133112971. The next prime is 23323133113031. The reversal of 23323133113000 is 31133132332.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755487565 + ... + 755518435.

It is an arithmetic number, because the mean of its divisors is an integer number (250322293260).

Almost surely, 2^{23323133113000} is an apocalyptic number.

23323133113000 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 23323133113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32041253537280).

23323133113000 is an abundant number, since it is smaller than the sum of its proper divisors (40759373961560).

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

23323133113000 is a wasteful number, since it uses less digits than its factorization.

23323133113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33853 (or 33839 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 23323133113000 its reverse (31133132332), we get a palindrome (23354266245332).

The spelling of 23323133113000 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred thirteen thousand".