23234331133000 has 128 divisors (see below), whose sum is σ = 58793470575840. Its totient is φ = 8543232000000.

The previous prime is 23234331132997. The next prime is 23234331133001. The reversal of 23234331133000 is 33113343232.

It can be written as a sum of positive squares in 16 ways, for example, as 113255133156 + 23121075999844 = 336534^2 + 4808438^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23234331133000.

It is not an unprimeable number, because it can be changed into a prime (23234331133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575001 + ... + 6841000.

Almost surely, 2^{23234331133000} is an apocalyptic number.

23234331133000 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 23234331133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29396735287920).

23234331133000 is an abundant number, since it is smaller than the sum of its proper divisors (35559139442840).

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

23234331133000 is a wasteful number, since it uses less digits than its factorization.

23234331133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416276 (or 7416262 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 23234331133000 its reverse (33113343232), we get a palindrome (23267444476232).

The spelling of 23234331133000 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred thirty-one million, one hundred thirty-three thousand".