233040130000 has 200 divisors, whose sum is σ = 603675137120. Its totient is φ = 86857920000.

The previous prime is 233040129991. The next prime is 233040130007. The reversal of 233040130000 is 31040332.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233040130007) 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 39 ways as a sum of consecutive naturals, for example, 11579947 + ... + 11600053.

Almost surely, 2^233040130000 is an apocalyptic number.

233040130000 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 233040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301837568560).

233040130000 is an abundant number, since it is smaller than the sum of its proper divisors (370635007120).

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

233040130000 is a wasteful number, since it uses less digits than its factorization.

233040130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20215 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233040130000 its reverse (31040332), we get a palindrome (233071170332).

The spelling of 233040130000 in words is "two hundred thirty-three billion, forty million, one hundred thirty thousand".