133030321632 has 144 divisors (see below), whose sum is σ = 407564015040. Its totient is φ = 40916468736.

The previous prime is 133030321609. The next prime is 133030321649. The reversal of 133030321632 is 236123030331.

It is a happy number.

133030321632 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 0 + 3 + 21 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 133030321596 and 133030321605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12750594 + ... + 12761022.

It is an arithmetic number, because the mean of its divisors is an integer number (2830305660).

Almost surely, 2^133030321632 is an apocalyptic number.

133030321632 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 133030321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203782007520).

133030321632 is an abundant number, since it is smaller than the sum of its proper divisors (274533693408).

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

133030321632 is a wasteful number, since it uses less digits than its factorization.

133030321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13865 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133030321632 its reverse (236123030331), we get a palindrome (369153351963).

The spelling of 133030321632 in words is "one hundred thirty-three billion, thirty million, three hundred twenty-one thousand, six hundred thirty-two".