133231132032 has 128 divisors (see below), whose sum is σ = 361889480160. Its totient is φ = 43413307392.

The previous prime is 133231132031. The next prime is 133231132037. The reversal of 133231132032 is 230231132331.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 133231131993 and 133231132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133231132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5625688 + ... + 5649320.

Almost surely, 2^133231132032 is an apocalyptic number.

133231132032 is a gapful number since it is divisible by the number (12) 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 133231132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180944740080).

133231132032 is an abundant number, since it is smaller than the sum of its proper divisors (228658348128).

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

133231132032 is a wasteful number, since it uses less digits than its factorization.

133231132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23980 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133231132032 its reverse (230231132331), we get a palindrome (363462264363).

The spelling of 133231132032 in words is "one hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-two".