133232330132000 has 384 divisors, whose sum is σ = 362256946361856. Its totient is φ = 47750438400000.

The previous prime is 133232330131931. The next prime is 133232330132009. The reversal of 133232330132000 is 231033232331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133232330132009) 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, 15035807570 + ... + 15035816430.

It is an arithmetic number, because the mean of its divisors is an integer number (943377464484).

Almost surely, 2^{133232330132000} is an apocalyptic number.

133232330132000 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 133232330132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181128473180928).

133232330132000 is an abundant number, since it is smaller than the sum of its proper divisors (229024616229856).

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

133232330132000 is a wasteful number, since it uses less digits than its factorization.

133232330132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 133232330132000 its reverse (231033232331), we get a palindrome (133463363364331).

The spelling of 133232330132000 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, three hundred thirty million, one hundred thirty-two thousand".