13331331936 has 144 divisors (see below), whose sum is σ = 40889590560. Its totient is φ = 4095682560.

The previous prime is 13331331913. The next prime is 13331332009. The reversal of 13331331936 is 63913313331.

13331331936 is a `hidden beast` number, since 1 + 3 + 331 + 3 + 319 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13331331936² (a number of 21 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 13331331936.

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 23 ways as a sum of consecutive naturals, for example, 2846845 + ... + 2851523.

It is an arithmetic number, because the mean of its divisors is an integer number (283955490).

Almost surely, 2^13331331936 is an apocalyptic number.

13331331936 is a gapful number since it is divisible by the number (16) 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 13331331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444795280).

13331331936 is an abundant number, since it is smaller than the sum of its proper divisors (27558258624).

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

13331331936 is a wasteful number, since it uses less digits than its factorization.

13331331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5458 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The spelling of 13331331936 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-one thousand, nine hundred thirty-six".