130414131430506 has 288 divisors, whose sum is σ = 354572313159168. Its totient is φ = 33655412442240.

The previous prime is 130414131430439. The next prime is 130414131430549. The reversal of 130414131430506 is 605034131414031.

130414131430506 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 4 + 1 + 3 + 143 + 0 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40920654645 + ... + 40920657831.

It is an arithmetic number, because the mean of its divisors is an integer number (1231153865136).

Almost surely, 2^{130414131430506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130414131430506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177286156579584).

130414131430506 is an abundant number, since it is smaller than the sum of its proper divisors (224158181728662).

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

130414131430506 is a wasteful number, since it uses less digits than its factorization.

130414131430506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 130414131430506 its reverse (605034131414031), we get a palindrome (735448262844537).

The spelling of 130414131430506 in words is "one hundred thirty trillion, four hundred fourteen billion, one hundred thirty-one million, four hundred thirty thousand, five hundred six".