133160442416100 has 324 divisors, whose sum is σ = 459063200492260. Its totient is φ = 32261213952000.

The previous prime is 133160442416093. The next prime is 133160442416117. The reversal of 133160442416100 is 1614244061331.

133160442416100 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 604 + 4 + 2 + 41 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18157467500964 + 115002974915136 = 4261158^2 + 10723944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 174840120 + ... + 175600080.

Almost surely, 2^{133160442416100} is an apocalyptic number.

133160442416100 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 133160442416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229531600246130).

133160442416100 is an abundant number, since it is smaller than the sum of its proper divisors (325902758076160).

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

133160442416100 is a wasteful number, since it uses less digits than its factorization.

133160442416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761612 (or 761591 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 133160442416100 its reverse (1614244061331), we get a palindrome (134774686477431).

The spelling of 133160442416100 in words is "one hundred thirty-three trillion, one hundred sixty billion, four hundred forty-two million, four hundred sixteen thousand, one hundred".