133521320435100 has 144 divisors (see below), whose sum is σ = 416168669250432. Its totient is φ = 32856522243840.

The previous prime is 133521320435047. The next prime is 133521320435101. The reversal of 133521320435100 is 1534023125331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133521320435101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7147299 + ... + 17836101.

It is an arithmetic number, because the mean of its divisors is an integer number (2890060203128).

Almost surely, 2^{133521320435100} is an apocalyptic number.

133521320435100 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 133521320435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208084334625216).

133521320435100 is an abundant number, since it is smaller than the sum of its proper divisors (282647348815332).

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

133521320435100 is a wasteful number, since it uses less digits than its factorization.

133521320435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692036 (or 10692029 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 133521320435100 in words is "one hundred thirty-three trillion, five hundred twenty-one billion, three hundred twenty million, four hundred thirty-five thousand, one hundred".