133330282623328 has 96 divisors (see below), whose sum is σ = 302275692407808. Its totient is φ = 56707518528000.

The previous prime is 133330282623319. The next prime is 133330282623367. The reversal of 133330282623328 is 823326282033331.

It is a super-3 number, since 3×133330282623328³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32603901 + ... + 36464707.

It is an arithmetic number, because the mean of its divisors is an integer number (3148705129248).

Almost surely, 2^{133330282623328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133330282623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151137846203904).

133330282623328 is an abundant number, since it is smaller than the sum of its proper divisors (168945409784480).

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

133330282623328 is a wasteful number, since it uses less digits than its factorization.

133330282623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861996 (or 3861988 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 49.

The spelling of 133330282623328 in words is "one hundred thirty-three trillion, three hundred thirty billion, two hundred eighty-two million, six hundred twenty-three thousand, three hundred twenty-eight".