133003312232000 has 448 divisors, whose sum is σ = 396470262988800. Its totient is φ = 43177048012800.

The previous prime is 133003312231969. The next prime is 133003312232003. The reversal of 133003312232000 is 232213300331.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (133003312232003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1965174161 + ... + 1965241839.

It is an arithmetic number, because the mean of its divisors is an integer number (884978265600).

Almost surely, 2^{133003312232000} is an apocalyptic number.

133003312232000 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 133003312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198235131494400).

133003312232000 is an abundant number, since it is smaller than the sum of its proper divisors (263466950756800).

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

133003312232000 is a wasteful number, since it uses less digits than its factorization.

133003312232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69579 (or 69559 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133003312232000 its reverse (232213300331), we get a palindrome (133235525532331).

The spelling of 133003312232000 in words is "one hundred thirty-three trillion, three billion, three hundred twelve million, two hundred thirty-two thousand".