133044440100 has 288 divisors, whose sum is σ = 455560592256. Its totient is φ = 29553561600.

The previous prime is 133044440099. The next prime is 133044440161. The reversal of 133044440100 is 1044440331.

133044440100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5865982 + ... + 5888618.

It is an arithmetic number, because the mean of its divisors is an integer number (1581807612).

Almost surely, 2^133044440100 is an apocalyptic number.

133044440100 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 133044440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227780296128).

133044440100 is an abundant number, since it is smaller than the sum of its proper divisors (322516152156).

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

133044440100 is a wasteful number, since it uses less digits than its factorization.

133044440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22815 (or 22808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 133044440100 its reverse (1044440331), we get a palindrome (134088880431).

The spelling of 133044440100 in words is "one hundred thirty-three billion, forty-four million, four hundred forty thousand, one hundred".