233133253340000 has 240 divisors, whose sum is σ = 619088216880672. Its totient is φ = 85881129984000.

The previous prime is 233133253339993. The next prime is 233133253340063. The reversal of 233133253340000 is 43352331332.

It is a super-2 number, since 2×233133253340000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111544589 + ... + 113615411.

Almost surely, 2^{233133253340000} is an apocalyptic number.

233133253340000 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 233133253340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309544108440336).

233133253340000 is an abundant number, since it is smaller than the sum of its proper divisors (385954963540672).

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

233133253340000 is a wasteful number, since it uses less digits than its factorization.

233133253340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071299 (or 2071276 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 32.

The spelling of 233133253340000 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, two hundred fifty-three million, three hundred forty thousand".