133404204313200 has 120 divisors (see below), whose sum is σ = 427581085043200. Its totient is φ = 35554229671680.

The previous prime is 133404204313181. The next prime is 133404204313201. The reversal of 133404204313200 is 2313402404331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133404204313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29489590 + ... + 33711189.

Almost surely, 2^{133404204313200} is an apocalyptic number.

133404204313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133404204313200 is an abundant number, since it is smaller than the sum of its proper divisors (294176880730000).

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

133404204313200 is a wasteful number, since it uses less digits than its factorization.

133404204313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63202559 (or 63202548 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133404204313200 its reverse (2313402404331), we get a palindrome (135717606717531).

The spelling of 133404204313200 in words is "one hundred thirty-three trillion, four hundred four billion, two hundred four million, three hundred thirteen thousand, two hundred".