133132130320 has 160 divisors (see below), whose sum is σ = 356366476800. Its totient is φ = 45308989440.

The previous prime is 133132130297. The next prime is 133132130323. The reversal of 133132130320 is 23031231331.

It is a junction number, because it is equal to n+sod(n) for n = 133132130291 and 133132130300.

It is not an unprimeable number, because it can be changed into a prime (133132130323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58059094 + ... + 58061386.

It is an arithmetic number, because the mean of its divisors is an integer number (2227290480).

Almost surely, 2^133132130320 is an apocalyptic number.

133132130320 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 133132130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178183238400).

133132130320 is an abundant number, since it is smaller than the sum of its proper divisors (223234346480).

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

133132130320 is a wasteful number, since it uses less digits than its factorization.

133132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133132130320 its reverse (23031231331), we get a palindrome (156163361651).

The spelling of 133132130320 in words is "one hundred thirty-three billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".