130415013 has 6 divisors (see below), whose sum is σ = 188377254. Its totient is φ = 86943336.

The previous prime is 130415003. The next prime is 130415023. The reversal of 130415013 is 310514031.

It is an interprime number because it is at equal distance from previous prime (130415003) and next prime (130415023).

It can be written as a sum of positive squares in only one way, i.e., 82846404 + 47568609 = 9102^2 + 6897^2 .

It is not a de Polignac number, because 130415013 - 2¹⁴ = 130398629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130415003) 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 5 ways as a sum of consecutive naturals, for example, 7245270 + ... + 7245287.

It is an arithmetic number, because the mean of its divisors is an integer number (31396209).

Almost surely, 2^130415013 is an apocalyptic number.

It is an amenable number.

130415013 is a deficient number, since it is larger than the sum of its proper divisors (57962241).

130415013 is a wasteful number, since it uses less digits than its factorization.

130415013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490563 (or 14490560 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130415013 is about 11419.9392730434. The cubic root of 130415013 is about 507.1181989277.

Adding to 130415013 its reverse (310514031), we get a palindrome (440929044).

The spelling of 130415013 in words is "one hundred thirty million, four hundred fifteen thousand, thirteen".