133120012320 has 648 divisors, whose sum is σ = 496905026436. Its totient is φ = 32444891136.

The previous prime is 133120012273. The next prime is 133120012331. The reversal of 133120012320 is 23210021331.

133120012320 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 0 + 12 + 320 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 119879367696 + 13240644624 = 346236^2 + 115068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133120012293 and 133120012302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 769479754 + ... + 769479926.

Almost surely, 2^133120012320 is an apocalyptic number.

133120012320 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 133120012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248452513218).

133120012320 is an abundant number, since it is smaller than the sum of its proper divisors (363785014116).

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

133120012320 is a wasteful number, since it uses less digits than its factorization.

133120012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133120012320 its reverse (23210021331), we get a palindrome (156330033651).

The spelling of 133120012320 in words is "one hundred thirty-three billion, one hundred twenty million, twelve thousand, three hundred twenty".