130012100017 has 16 divisors (see below), whose sum is σ = 134359146000. Its totient is φ = 125709587712.

The previous prime is 130012100003. The next prime is 130012100039. The reversal of 130012100017 is 710001210031.

It can be written as a sum of positive squares in 8 ways, for example, as 12283510561 + 117728589456 = 110831^2 + 343116^2 .

It is a cyclic number.

It is not a de Polignac number, because 130012100017 - 2¹⁵ = 130012067249 is a prime.

It is a super-2 number, since 2×130012100017² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130012100077) 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 15 ways as a sum of consecutive naturals, for example, 22611859 + ... + 22617607.

It is an arithmetic number, because the mean of its divisors is an integer number (8397446625).

Almost surely, 2^130012100017 is an apocalyptic number.

It is an amenable number.

130012100017 is a deficient number, since it is larger than the sum of its proper divisors (4347045983).

130012100017 is a wasteful number, since it uses less digits than its factorization.

130012100017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 130012100017 its reverse (710001210031), we get a palindrome (840013310048).

The spelling of 130012100017 in words is "one hundred thirty billion, twelve million, one hundred thousand, seventeen".