13181285376 has 594 divisors, whose sum is σ = 47497920678. Its totient is φ = 3509452800.

The previous prime is 13181285371. The next prime is 13181285413. The reversal of 13181285376 is 67358218131.

It is a happy number.

13181285376 is a `hidden beast` number, since 1 + 31 + 81 + 2 + 8 + 537 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9105739776 + 4075545600 = 95424^2 + 63840^2 .

It is a super-2 number, since 2×13181285376² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13181285371) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 130507726 + ... + 130507826.

Almost surely, 2^13181285376 is an apocalyptic number.

13181285376 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 13181285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748960339).

13181285376 is an abundant number, since it is smaller than the sum of its proper divisors (34316635302).

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

13181285376 is a wasteful number, since it uses less digits than its factorization.

13181285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13181285376 in words is "thirteen billion, one hundred eighty-one million, two hundred eighty-five thousand, three hundred seventy-six".