13193123328 has 720 divisors, whose sum is σ = 50588119296. Its totient is φ = 3214909440.

The previous prime is 13193123299. The next prime is 13193123329. The reversal of 13193123328 is 82332139131.

It is a happy number.

13193123328 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 312 + 332 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13193123292 and 13193123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13193123329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128088525 + ... + 128088627.

Almost surely, 2^13193123328 is an apocalyptic number.

13193123328 is a gapful number since it is divisible by the number (18) 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 13193123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294059648).

13193123328 is an abundant number, since it is smaller than the sum of its proper divisors (37394995968).

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

13193123328 is a wasteful number, since it uses less digits than its factorization.

13193123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 13193123328 in words is "thirteen billion, one hundred ninety-three million, one hundred twenty-three thousand, three hundred twenty-eight".