130413106017 has 12 divisors (see below), whose sum is σ = 193465689300. Its totient is φ = 84592284768.

The previous prime is 130413106001. The next prime is 130413106027. The reversal of 130413106017 is 710601314031.

130413106017 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 3 + 10 + 601 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48756614481 + 81656491536 = 220809^2 + 285756^2 .

It is not a de Polignac number, because 130413106017 - 2⁴ = 130413106001 is a prime.

It is a super-3 number, since 3×130413106017³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130413106027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195815142 + ... + 195815807.

It is an arithmetic number, because the mean of its divisors is an integer number (16122140775).

Almost surely, 2^130413106017 is an apocalyptic number.

It is an amenable number.

130413106017 is a deficient number, since it is larger than the sum of its proper divisors (63052583283).

130413106017 is a wasteful number, since it uses less digits than its factorization.

130413106017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391630992 (or 391630989 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 130413106017 in words is "one hundred thirty billion, four hundred thirteen million, one hundred six thousand, seventeen".