13397181336 has 288 divisors, whose sum is σ = 46685667600. Its totient is φ = 3431393280.

The previous prime is 13397181319. The next prime is 13397181353. The reversal of 13397181336 is 63318179331.

13397181336 is a `hidden beast` number, since 133 + 9 + 7 + 181 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (13397181319) and next prime (13397181353).

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 = 13397181291 and 13397181300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2830620 + ... + 2835348.

Almost surely, 2^13397181336 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 13397181336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342833800).

13397181336 is an abundant number, since it is smaller than the sum of its proper divisors (33288486264).

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

13397181336 is a wasteful number, since it uses less digits than its factorization.

13397181336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4825 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 13397181336 in words is "thirteen billion, three hundred ninety-seven million, one hundred eighty-one thousand, three hundred thirty-six".