133114134312120 has 384 divisors, whose sum is σ = 438200472153600. Its totient is φ = 32331151337472.

The previous prime is 133114134312109. The next prime is 133114134312151. The reversal of 133114134312120 is 21213431411331.

It is a happy number.

133114134312120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578493651 + ... + 578723709.

It is an arithmetic number, because the mean of its divisors is an integer number (1141147062900).

Almost surely, 2^{133114134312120} is an apocalyptic number.

133114134312120 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 133114134312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219100236076800).

133114134312120 is an abundant number, since it is smaller than the sum of its proper divisors (305086337841480).

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

133114134312120 is a wasteful number, since it uses less digits than its factorization.

133114134312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230479 (or 230462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 133114134312120 its reverse (21213431411331), we get a palindrome (154327565723451).

The spelling of 133114134312120 in words is "one hundred thirty-three trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred twelve thousand, one hundred twenty".