133003312233000 has 512 divisors, whose sum is σ = 479720341900800. Its totient is φ = 30321475584000.

The previous prime is 133003312232977. The next prime is 133003312233023. The reversal of 133003312233000 is 332213300331.

It is an interprime number because it is at equal distance from previous prime (133003312232977) and next prime (133003312233023).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682639596 + ... + 682834404.

It is an arithmetic number, because the mean of its divisors is an integer number (936953792775).

Almost surely, 2^{133003312233000} is an apocalyptic number.

133003312233000 is a gapful number since it is divisible by the number (10) 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 133003312233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239860170950400).

133003312233000 is an abundant number, since it is smaller than the sum of its proper divisors (346717029667800).

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

133003312233000 is a wasteful number, since it uses less digits than its factorization.

133003312233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196078 (or 196064 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 133003312233000 its reverse (332213300331), we get a palindrome (133335525533331).

The spelling of 133003312233000 in words is "one hundred thirty-three trillion, three billion, three hundred twelve million, two hundred thirty-three thousand".