133120020000 has 480 divisors, whose sum is σ = 481313980224. Its totient is φ = 31936000000.

The previous prime is 133120019971. The next prime is 133120020041. The reversal of 133120020000 is 20021331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 66659002 + ... + 66660998.

Almost surely, 2^133120020000 is an apocalyptic number.

133120020000 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 133120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240656990112).

133120020000 is an abundant number, since it is smaller than the sum of its proper divisors (348193960224).

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

133120020000 is a wasteful number, since it uses less digits than its factorization.

133120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 133120020000 its reverse (20021331), we get a palindrome (133140041331).

The spelling of 133120020000 in words is "one hundred thirty-three billion, one hundred twenty million, twenty thousand".