13131138384 has 720 divisors, whose sum is σ = 48833405712. Its totient is φ = 3260694528.

The previous prime is 13131138359. The next prime is 13131138389. The reversal of 13131138384 is 48383113131.

13131138384 is a `hidden beast` number, since 13 + 131 + 138 + 384 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 423536400 + 12707601984 = 20580^2 + 112728^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131138389) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179878572 + ... + 179878644.

Almost surely, 2^13131138384 is an apocalyptic number.

13131138384 is a gapful number since it is divisible by the number (14) 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 13131138384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416702856).

13131138384 is an abundant number, since it is smaller than the sum of its proper divisors (35702267328).

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

13131138384 is a wasteful number, since it uses less digits than its factorization.

13131138384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13131138384 in words is "thirteen billion, one hundred thirty-one million, one hundred thirty-eight thousand, three hundred eighty-four".