13331013696 has 840 divisors, whose sum is σ = 54152816256. Its totient is φ = 3187537920.

The previous prime is 13331013667. The next prime is 13331013697. The reversal of 13331013696 is 69631013331.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13331013696.

It is not an unprimeable number, because it can be changed into a prime (13331013697) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36324105 + ... + 36324471.

Almost surely, 2^13331013696 is an apocalyptic number.

13331013696 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 13331013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076408128).

13331013696 is an abundant number, since it is smaller than the sum of its proper divisors (40821802560).

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

13331013696 is a wasteful number, since it uses less digits than its factorization.

13331013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 13331013696 in words is "thirteen billion, three hundred thirty-one million, thirteen thousand, six hundred ninety-six".