130042513 has 2 divisors, whose sum is σ = 130042514. Its totient is φ = 130042512.

The previous prime is 130042501. The next prime is 130042553. The reversal of 130042513 is 315240031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129800449 + 242064 = 11393^2 + 492^2 .

It is an emirp because it is prime and its reverse (315240031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130042513 is a prime.

It is a super-2 number, since 2×130042513² = 33822110374710338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130042553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65021256 + 65021257.

It is an arithmetic number, because the mean of its divisors is an integer number (65021257).

Almost surely, 2^130042513 is an apocalyptic number.

It is an amenable number.

130042513 is a deficient number, since it is larger than the sum of its proper divisors (1).

130042513 is an equidigital number, since it uses as much as digits as its factorization.

130042513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 130042513 is about 11403.6184169763. The cubic root of 130042513 is about 506.6349169759.

Adding to 130042513 its reverse (315240031), we get a palindrome (445282544).

The spelling of 130042513 in words is "one hundred thirty million, forty-two thousand, five hundred thirteen".