233313120000 has 1080 divisors, whose sum is σ = 899008350240. Its totient is φ = 58060800000.

The previous prime is 233313119989. The next prime is 233313120011. The reversal of 233313120000 is 21313332.

233313120000 is a `hidden beast` number, since 2 + 333 + 131 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (233313119989) and next prime (233313120011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1545119925 + ... + 1545120075.

Almost surely, 2^233313120000 is an apocalyptic number.

233313120000 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 233313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449504175120).

233313120000 is an abundant number, since it is smaller than the sum of its proper divisors (665695230240).

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

233313120000 is a wasteful number, since it uses less digits than its factorization.

233313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 233313120000 its reverse (21313332), we get a palindrome (233334433332).

The spelling of 233313120000 in words is "two hundred thirty-three billion, three hundred thirteen million, one hundred twenty thousand".