133034302014120 has 192 divisors, whose sum is σ = 466357975574400. Its totient is φ = 32695007546880.

The previous prime is 133034302014091. The next prime is 133034302014203. The reversal of 133034302014120 is 21410203430331.

It is a happy number.

133034302014120 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 43 + 0 + 201 + 412 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19571590 + ... + 25477749.

It is an arithmetic number, because the mean of its divisors is an integer number (2428947789450).

Almost surely, 2^{133034302014120} is an apocalyptic number.

133034302014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133034302014120 is an abundant number, since it is smaller than the sum of its proper divisors (333323673560280).

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

133034302014120 is a wasteful number, since it uses less digits than its factorization.

133034302014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45050000 (or 45049993 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133034302014120 its reverse (21410203430331), we get a palindrome (154444505444451).

The spelling of 133034302014120 in words is "one hundred thirty-three trillion, thirty-four billion, three hundred two million, fourteen thousand, one hundred twenty".