233433313133000 has 64 divisors (see below), whose sum is σ = 547346446657920. Its totient is φ = 93183155352000.

The previous prime is 233433313132993. The next prime is 233433313133011. The reversal of 233433313133000 is 331313334332.

It is a happy number.

It is a super-2 number, since 2×233433313133000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237221132 + ... + 238203131.

It is an arithmetic number, because the mean of its divisors is an integer number (8552288229030).

Almost surely, 2^{233433313133000} is an apocalyptic number.

233433313133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233433313133000 is an abundant number, since it is smaller than the sum of its proper divisors (313913133524920).

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

233433313133000 is a wasteful number, since it uses less digits than its factorization.

233433313133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475424775 (or 475424761 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 233433313133000 its reverse (331313334332), we get a palindrome (233764626467332).

The spelling of 233433313133000 in words is "two hundred thirty-three trillion, four hundred thirty-three billion, three hundred thirteen million, one hundred thirty-three thousand".