133321011200120 has 128 divisors (see below), whose sum is σ = 310582546560000. Its totient is φ = 51445311805440.

The previous prime is 133321011200081. The next prime is 133321011200161. The reversal of 133321011200120 is 21002110123331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133321011200092 and 133321011200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7575479081 + ... + 7575496679.

It is an arithmetic number, because the mean of its divisors is an integer number (2426426145000).

Almost surely, 2^{133321011200120} is an apocalyptic number.

133321011200120 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 133321011200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155291273280000).

133321011200120 is an abundant number, since it is smaller than the sum of its proper divisors (177261535359880).

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

133321011200120 is a wasteful number, since it uses less digits than its factorization.

133321011200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22873 (or 22869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133321011200120 its reverse (21002110123331), we get a palindrome (154323121323451).

The spelling of 133321011200120 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, eleven million, two hundred thousand, one hundred twenty".