133112211323220 has 240 divisors, whose sum is σ = 429033760581888. Its totient is φ = 34523537368320.

The previous prime is 133112211323213. The next prime is 133112211323359. The reversal of 133112211323220 is 22323112211331.

133112211323220 is a `hidden beast` number, since 1 + 3 + 3 + 112 + 2 + 1 + 1 + 323 + 220 = 666.

133112211323220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133112211323220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151269429 + ... + 152146851.

Almost surely, 2^{133112211323220} is an apocalyptic number.

133112211323220 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 133112211323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214516880290944).

133112211323220 is an abundant number, since it is smaller than the sum of its proper divisors (295921549258668).

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

133112211323220 is a wasteful number, since it uses less digits than its factorization.

133112211323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880012 (or 880001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133112211323220 its reverse (22323112211331), we get a palindrome (155435323534551).

The spelling of 133112211323220 in words is "one hundred thirty-three trillion, one hundred twelve billion, two hundred eleven million, three hundred twenty-three thousand, two hundred twenty".