133320120100 has 72 divisors (see below), whose sum is σ = 297008990208. Its totient is φ = 51919795200.

The previous prime is 133320120097. The next prime is 133320120217. The reversal of 133320120100 is 1021023331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823444 + ... + 971956.

It is an arithmetic number, because the mean of its divisors is an integer number (4125124864).

Almost surely, 2^133320120100 is an apocalyptic number.

133320120100 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 133320120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148504495104).

133320120100 is an abundant number, since it is smaller than the sum of its proper divisors (163688870108).

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

133320120100 is a wasteful number, since it uses less digits than its factorization.

133320120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148765 (or 148758 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133320120100 its reverse (1021023331), we get a palindrome (134341143431).

The spelling of 133320120100 in words is "one hundred thirty-three billion, three hundred twenty million, one hundred twenty thousand, one hundred".