133102120020012 has 576 divisors, whose sum is σ = 401613665177088. Its totient is φ = 36639461376000.

The previous prime is 133102120020011. The next prime is 133102120020017. The reversal of 133102120020012 is 210020021201331.

133102120020012 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 120 + 0 + 200 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133102120020011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109369038028 + ... + 109369039244.

It is an arithmetic number, because the mean of its divisors is an integer number (697245946488).

Almost surely, 2^{133102120020012} is an apocalyptic number.

133102120020012 is a gapful number since it is divisible by the number (12) 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 133102120020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200806832588544).

133102120020012 is an abundant number, since it is smaller than the sum of its proper divisors (268511545157076).

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

133102120020012 is a wasteful number, since it uses less digits than its factorization.

133102120020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133102120020012 its reverse (210020021201331), we get a palindrome (343122141221343).

The spelling of 133102120020012 in words is "one hundred thirty-three trillion, one hundred two billion, one hundred twenty million, twenty thousand, twelve".