133130121300000 has 432 divisors, whose sum is σ = 516224428521984. Its totient is φ = 32273966400000.

The previous prime is 133130121299963. The next prime is 133130121300073. The reversal of 133130121300000 is 3121031331.

It is a happy number.

133130121300000 is a `hidden beast` number, since 1 + 331 + 30 + 1 + 2 + 1 + 300 + 0 + 0 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3176257 + ... + 16623743.

It is an arithmetic number, because the mean of its divisors is an integer number (1194963954912).

Almost surely, 2^{133130121300000} is an apocalyptic number.

133130121300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133130121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258112214260992).

133130121300000 is an abundant number, since it is smaller than the sum of its proper divisors (383094307221984).

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

133130121300000 is a wasteful number, since it uses less digits than its factorization.

133130121300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447539 (or 13447508 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133130121300000 its reverse (3121031331), we get a palindrome (133133242331331).

The spelling of 133130121300000 in words is "one hundred thirty-three trillion, one hundred thirty billion, one hundred twenty-one million, three hundred thousand".