133221300130000 has 100 divisors (see below), whose sum is σ = 322800360272500. Its totient is φ = 53245850112000.

The previous prime is 133221300129941. The next prime is 133221300130033. The reversal of 133221300130000 is 31003122331.

It can be written as a sum of positive squares in 10 ways, for example, as 128754045896256 + 4467254233744 = 11346984^2 + 2113588^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 133221300130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7156882 + ... + 17823118.

It is an arithmetic number, because the mean of its divisors is an integer number (3228003602725).

Almost surely, 2^{133221300130000} is an apocalyptic number.

133221300130000 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 133221300130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161400180136250).

133221300130000 is an abundant number, since it is smaller than the sum of its proper divisors (189579060142500).

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

133221300130000 is a wasteful number, since it uses less digits than its factorization.

133221300130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667514 (or 10667493 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 133221300130000 its reverse (31003122331), we get a palindrome (133252303252331).

The spelling of 133221300130000 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, three hundred million, one hundred thirty thousand".