133404040433300 has 288 divisors, whose sum is σ = 357218328563712. Its totient is φ = 42110454597120.

The previous prime is 133404040433203. The next prime is 133404040433311. The reversal of 133404040433300 is 3334040404331.

It is a congruent number.

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, 7533963047 + ... + 7533980753.

It is an arithmetic number, because the mean of its divisors is an integer number (1240341418624).

Almost surely, 2^{133404040433300} is an apocalyptic number.

133404040433300 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 133404040433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178609164281856).

133404040433300 is an abundant number, since it is smaller than the sum of its proper divisors (223814288130412).

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

133404040433300 is a wasteful number, since it uses less digits than its factorization.

133404040433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19847 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 133404040433300 its reverse (3334040404331), we get a palindrome (136738080837631).

The spelling of 133404040433300 in words is "one hundred thirty-three trillion, four hundred four billion, forty million, four hundred thirty-three thousand, three hundred".