13131185130 has 384 divisors, whose sum is σ = 42319791360. Its totient is φ = 2887073280.

The previous prime is 13131185129. The next prime is 13131185147. The reversal of 13131185130 is 3158113131.

13131185130 is a `hidden beast` number, since 1 + 3 + 131 + 18 + 513 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13131185094 and 13131185103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42772437 + ... + 42772743.

It is an arithmetic number, because the mean of its divisors is an integer number (110207790).

Almost surely, 2^13131185130 is an apocalyptic number.

13131185130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131185130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

13131185130 is an abundant number, since it is smaller than the sum of its proper divisors (29188606230).

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

13131185130 is a wasteful number, since it uses less digits than its factorization.

13131185130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 13131185130 its reverse (3158113131), we get a palindrome (16289298261).

The spelling of 13131185130 in words is "thirteen billion, one hundred thirty-one million, one hundred eighty-five thousand, one hundred thirty".