133220200113000 has 3072 divisors, whose sum is σ = 628901425152000. Its totient is φ = 24542548992000.

The previous prime is 133220200112983. The next prime is 133220200113001. The reversal of 133220200113000 is 311002022331.

133220200113000 is a `hidden beast` number, since 1 + 332 + 2 + 0 + 20 + 0 + 11 + 300 + 0 = 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 (133220200113001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 26333304471 + ... + 26333309529.

It is an arithmetic number, because the mean of its divisors is an integer number (204720516000).

Almost surely, 2^{133220200113000} is an apocalyptic number.

133220200113000 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 133220200113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314450712576000).

133220200113000 is an abundant number, since it is smaller than the sum of its proper divisors (495681225039000).

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

133220200113000 is a wasteful number, since it uses less digits than its factorization.

133220200113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133220200113000 its reverse (311002022331), we get a palindrome (133531202135331).

The spelling of 133220200113000 in words is "one hundred thirty-three trillion, two hundred twenty billion, two hundred million, one hundred thirteen thousand".