13181538040 has 128 divisors (see below), whose sum is σ = 34124198400. Its totient is φ = 4532129280.

The previous prime is 13181538031. The next prime is 13181538049. The reversal of 13181538040 is 4083518131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13181538031) and next prime (13181538049).

It is a junction number, because it is equal to n+sod(n) for n = 13181537987 and 13181538005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13181538049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5407702 + ... + 5410138.

It is an arithmetic number, because the mean of its divisors is an integer number (266595300).

Almost surely, 2^13181538040 is an apocalyptic number.

13181538040 is a gapful number since it is divisible by the number (10) 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 13181538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062099200).

13181538040 is an abundant number, since it is smaller than the sum of its proper divisors (20942660360).

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

13181538040 is a wasteful number, since it uses less digits than its factorization.

13181538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 13181538040 in words is "thirteen billion, one hundred eighty-one million, five hundred thirty-eight thousand, forty".