13283445312 has 336 divisors, whose sum is σ = 42736861440. Its totient is φ = 4074872832.

The previous prime is 13283445289. The next prime is 13283445353. The reversal of 13283445312 is 21354438231.

13283445312 is a `hidden beast` number, since 1 + 3 + 2 + 83 + 44 + 531 + 2 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12425514 + ... + 12426582.

It is an arithmetic number, because the mean of its divisors is an integer number (127193040).

Almost surely, 2^13283445312 is an apocalyptic number.

13283445312 is a gapful number since it is divisible by the number (12) 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 13283445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368430720).

13283445312 is an abundant number, since it is smaller than the sum of its proper divisors (29453416128).

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

13283445312 is a wasteful number, since it uses less digits than its factorization.

13283445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1138 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 13283445312 in words is "thirteen billion, two hundred eighty-three million, four hundred forty-five thousand, three hundred twelve".