133112300323200 has 384 divisors, whose sum is σ = 499092214982400. Its totient is φ = 30866619801600.

The previous prime is 133112300323199. The next prime is 133112300323201. The reversal of 133112300323200 is 2323003211331.

It is an interprime number because it is at equal distance from previous prime (133112300323199) and next prime (133112300323201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112300323201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24974095 + ... + 29831694.

It is an arithmetic number, because the mean of its divisors is an integer number (1299719309850).

Almost surely, 2^{133112300323200} is an apocalyptic number.

133112300323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133112300323200 is an abundant number, since it is smaller than the sum of its proper divisors (365979914659200).

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

133112300323200 is a wasteful number, since it uses less digits than its factorization.

133112300323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54805850 (or 54805833 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133112300323200 its reverse (2323003211331), we get a palindrome (135435303534531).

The spelling of 133112300323200 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred million, three hundred twenty-three thousand, two hundred".