233013302000 has 320 divisors, whose sum is σ = 617414054400. Its totient is φ = 84749414400.

The previous prime is 233013301987. The next prime is 233013302009. The reversal of 233013302000 is 203310332.

233013302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233013302000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233013302009) 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 63 ways as a sum of consecutive naturals, for example, 96404792 + ... + 96407208.

It is an arithmetic number, because the mean of its divisors is an integer number (1929418920).

Almost surely, 2^233013302000 is an apocalyptic number.

233013302000 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 233013302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308707027200).

233013302000 is an abundant number, since it is smaller than the sum of its proper divisors (384400752400).

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

233013302000 is a wasteful number, since it uses less digits than its factorization.

233013302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 233013302000 its reverse (203310332), we get a palindrome (233216612332).

The spelling of 233013302000 in words is "two hundred thirty-three billion, thirteen million, three hundred two thousand".