130413514513 has 4 divisors (see below), whose sum is σ = 130414256308. Its totient is φ = 130412772720.

The previous prime is 130413514481. The next prime is 130413514523. The reversal of 130413514513 is 315415314031.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 315415314031 = 29 ⋅10876390139.

It can be written as a sum of positive squares in 2 ways, for example, as 112367084944 + 18046429569 = 335212^2 + 134337^2 .

It is a cyclic number.

It is not a de Polignac number, because 130413514513 - 2⁵ = 130413514481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130413514523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58603 + ... + 514063.

It is an arithmetic number, because the mean of its divisors is an integer number (32603564077).

Almost surely, 2^130413514513 is an apocalyptic number.

It is an amenable number.

130413514513 is a deficient number, since it is larger than the sum of its proper divisors (741795).

130413514513 is an equidigital number, since it uses as much as digits as its factorization.

130413514513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741794.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 130413514513 its reverse (315415314031), we get a palindrome (445828828544).

The spelling of 130413514513 in words is "one hundred thirty billion, four hundred thirteen million, five hundred fourteen thousand, five hundred thirteen".