133313003311220 has 96 divisors (see below), whose sum is σ = 290980039996800. Its totient is φ = 51243509205504.

The previous prime is 133313003311183. The next prime is 133313003311259. The reversal of 133313003311220 is 22113300313331.

It is a self number, because there is not a number n which added to its sum of digits gives 133313003311220.

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, 121066886 + ... + 122163074.

It is an arithmetic number, because the mean of its divisors is an integer number (3031042083300).

Almost surely, 2^{133313003311220} is an apocalyptic number.

133313003311220 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 133313003311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145490019998400).

133313003311220 is an abundant number, since it is smaller than the sum of its proper divisors (157667036685580).

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

133313003311220 is a wasteful number, since it uses less digits than its factorization.

133313003311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097217 (or 1097215 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 133313003311220 its reverse (22113300313331), we get a palindrome (155426303624551).

The spelling of 133313003311220 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three million, three hundred eleven thousand, two hundred twenty".