130523013 has 12 divisors (see below), whose sum is σ = 193629228. Its totient is φ = 84663360.

The previous prime is 130523011. The next prime is 130523053. The reversal of 130523013 is 310325031.

130523013 is a `hidden beast` number, since 130 + 523 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67272804 + 63250209 = 8202^2 + 7953^2 .

It is not a de Polignac number, because 130523013 - 2¹ = 130523011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130523011) 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 11 ways as a sum of consecutive naturals, for example, 195648 + ... + 196313.

It is an arithmetic number, because the mean of its divisors is an integer number (16135769).

Almost surely, 2^130523013 is an apocalyptic number.

It is an amenable number.

130523013 is a deficient number, since it is larger than the sum of its proper divisors (63106215).

130523013 is a wasteful number, since it uses less digits than its factorization.

130523013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392004 (or 392001 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130523013 is about 11424.6668660403. Note that the first 3 decimals coincide. The cubic root of 130523013 is about 507.2581461436.

Adding to 130523013 its reverse (310325031), we get a palindrome (440848044).

The spelling of 130523013 in words is "one hundred thirty million, five hundred twenty-three thousand, thirteen".