133111320320 has 144 divisors (see below), whose sum is σ = 348091908192. Its totient is φ = 48367534080.

The previous prime is 133111320299. The next prime is 133111320337. The reversal of 133111320320 is 23023111331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133111320292 and 133111320301.

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 15 ways as a sum of consecutive naturals, for example, 24679544 + ... + 24684936.

It is an arithmetic number, because the mean of its divisors is an integer number (2417304918).

Almost surely, 2^133111320320 is an apocalyptic number.

133111320320 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 133111320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174045954096).

133111320320 is an abundant number, since it is smaller than the sum of its proper divisors (214980587872).

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

133111320320 is a wasteful number, since it uses less digits than its factorization.

133111320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133111320320 its reverse (23023111331), we get a palindrome (156134431651).

The spelling of 133111320320 in words is "one hundred thirty-three billion, one hundred eleven million, three hundred twenty thousand, three hundred twenty".