133220120100 has 144 divisors (see below), whose sum is σ = 389796593088. Its totient is φ = 35125493760.

The previous prime is 133220120093. The next prime is 133220120113. The reversal of 133220120100 is 1021022331.

133220120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133220120100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50137972 + ... + 50140628.

Almost surely, 2^133220120100 is an apocalyptic number.

133220120100 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 133220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194898296544).

133220120100 is an abundant number, since it is smaller than the sum of its proper divisors (256576472988).

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

133220120100 is a wasteful number, since it uses less digits than its factorization.

133220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133220120100 its reverse (1021022331), we get a palindrome (134241142431).

The spelling of 133220120100 in words is "one hundred thirty-three billion, two hundred twenty million, one hundred twenty thousand, one hundred".