233213313303000 has 768 divisors, whose sum is σ = 806510147788800. Its totient is φ = 60768426700800.

The previous prime is 233213313302969. The next prime is 233213313303077. The reversal of 233213313303000 is 303313312332.

233213313303000 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 13 + 313 + 30 + 300 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66122287237 + ... + 66122290763.

It is an arithmetic number, because the mean of its divisors is an integer number (1050143421600).

Almost surely, 2^{233213313303000} is an apocalyptic number.

233213313303000 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 233213313303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403255073894400).

233213313303000 is an abundant number, since it is smaller than the sum of its proper divisors (573296834485800).

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

233213313303000 is a wasteful number, since it uses less digits than its factorization.

233213313303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 233213313303000 its reverse (303313312332), we get a palindrome (233516626615332).

The spelling of 233213313303000 in words is "two hundred thirty-three trillion, two hundred thirteen billion, three hundred thirteen million, three hundred three thousand".