133120020000000 has 1152 divisors, whose sum is σ = 488153856572928. Its totient is φ = 31936000000000.

The previous prime is 133120019999963. The next prime is 133120020000067. The reversal of 133120020000000 is 20021331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66659999002 + ... + 66660000998.

It is an arithmetic number, because the mean of its divisors is an integer number (423744667164).

Almost surely, 2^{133120020000000} is an apocalyptic number.

133120020000000 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 133120020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244076928286464).

133120020000000 is an abundant number, since it is smaller than the sum of its proper divisors (355033836572928).

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

133120020000000 is an frugal number, since it uses more digits than its factorization.

133120020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2119 counting only the distinct ones).

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

Adding to 133120020000000 its reverse (20021331), we get a palindrome (133120040021331).

The spelling of 133120020000000 in words is "one hundred thirty-three trillion, one hundred twenty billion, twenty million", and thus it is an aban number.