133113123220 has 96 divisors (see below), whose sum is σ = 350440586496. Its totient is φ = 41260492800.

The previous prime is 133113123203. The next prime is 133113123301. The reversal of 133113123220 is 22321311331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133113123191 and 133113123200.

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 31 ways as a sum of consecutive naturals, for example, 39964 + ... + 517516.

It is an arithmetic number, because the mean of its divisors is an integer number (3650422776).

Almost surely, 2^133113123220 is an apocalyptic number.

133113123220 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 133113123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175220293248).

133113123220 is an abundant number, since it is smaller than the sum of its proper divisors (217327463276).

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

133113123220 is a wasteful number, since it uses less digits than its factorization.

133113123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477761 (or 477759 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133113123220 its reverse (22321311331), we get a palindrome (155434434551).

The spelling of 133113123220 in words is "one hundred thirty-three billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred twenty".