133120131001200 has 360 divisors, whose sum is σ = 536907123542400. Its totient is φ = 29911738544640.

The previous prime is 133120131001153. The next prime is 133120131001217. The reversal of 133120131001200 is 2100131021331.

133120131001200 is a `hidden beast` number, since 1 + 3 + 31 + 201 + 310 + 0 + 120 + 0 = 666.

133120131001200 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43280530 + ... + 46254129.

Almost surely, 2^{133120131001200} is an apocalyptic number.

133120131001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120131001200 is an abundant number, since it is smaller than the sum of its proper divisors (403786992541200).

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

133120131001200 is a wasteful number, since it uses less digits than its factorization.

133120131001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89534749 (or 89534735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133120131001200 its reverse (2100131021331), we get a palindrome (135220262022531).

The spelling of 133120131001200 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-one million, one thousand, two hundred".