130517342512241 has 12 divisors (see below), whose sum is σ = 133361858320548. Its totient is φ = 127732267439232.

The previous prime is 130517342512199. The next prime is 130517342512243. The reversal of 130517342512241 is 142215243715031.

It can be written as a sum of positive squares in 2 ways, for example, as 53606705155600 + 76910637356641 = 7321660^2 + 8769871^2 .

It is not a de Polignac number, because 130517342512241 - 2²² = 130517338317937 is a prime.

It is a super-3 number, since 3×130517342512241³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130517342512243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33072005 + ... + 36807501.

It is an arithmetic number, because the mean of its divisors is an integer number (11113488193379).

Almost surely, 2^{130517342512241} is an apocalyptic number.

It is an amenable number.

130517342512241 is a deficient number, since it is larger than the sum of its proper divisors (2844515808307).

130517342512241 is an equidigital number, since it uses as much as digits as its factorization.

130517342512241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751408 (or 3751361 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 130517342512241 in words is "one hundred thirty trillion, five hundred seventeen billion, three hundred forty-two million, five hundred twelve thousand, two hundred forty-one".