130105412514 has 128 divisors (see below), whose sum is σ = 360596275200. Its totient is φ = 33781328640.

The previous prime is 130105412513. The next prime is 130105412579. The reversal of 130105412514 is 415214501031.

130105412514 is a `hidden beast` number, since 1 + 3 + 0 + 105 + 41 + 2 + 514 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130105412513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19360447 + ... + 19367165.

It is an arithmetic number, because the mean of its divisors is an integer number (2817158400).

Almost surely, 2^130105412514 is an apocalyptic number.

130105412514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130105412514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180298137600).

130105412514 is an abundant number, since it is smaller than the sum of its proper divisors (230490862686).

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

130105412514 is a wasteful number, since it uses less digits than its factorization.

130105412514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 130105412514 its reverse (415214501031), we get a palindrome (545319913545).

The spelling of 130105412514 in words is "one hundred thirty billion, one hundred five million, four hundred twelve thousand, five hundred fourteen".