133120133313200 has 60 divisors (see below), whose sum is σ = 348895767595128. Its totient is φ = 48407321203200.

The previous prime is 133120133313173. The next prime is 133120133313241. The reversal of 133120133313200 is 2313331021331.

It is a super-3 number, since 3×133120133313200³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133120133313200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15127283477 + ... + 15127292276.

Almost surely, 2^{133120133313200} is an apocalyptic number.

133120133313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120133313200 is an abundant number, since it is smaller than the sum of its proper divisors (215775634281928).

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

133120133313200 is a wasteful number, since it uses less digits than its factorization.

133120133313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30254575782 (or 30254575771 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 133120133313200 its reverse (2313331021331), we get a palindrome (135433464334531).

The spelling of 133120133313200 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred".