130005306 has 12 divisors (see below), whose sum is σ = 281678202. Its totient is φ = 43335096.

The previous prime is 130005299. The next prime is 130005313. The reversal of 130005306 is 603500031.

130005306 is a `hidden beast` number, since 130 + 0 + 0 + 530 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (130005299) and next prime (130005313).

It can be written as a sum of positive squares in only one way, i.e., 69305625 + 60699681 = 8325^2 + 7791^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7222517 = 130005306 / (1 + 3 + 0 + 0 + 0 + 5 + 3 + 0 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3611241 + ... + 3611276.

Almost surely, 2^130005306 is an apocalyptic number.

130005306 is an abundant number, since it is smaller than the sum of its proper divisors (151672896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130005306 is a wasteful number, since it uses less digits than its factorization.

130005306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222525 (or 7222522 counting only the distinct ones).

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

The square root of 130005306 is about 11401.9869321097. The cubic root of 130005306 is about 506.5865938981.

Adding to 130005306 its reverse (603500031), we get a palindrome (733505337).

The spelling of 130005306 in words is "one hundred thirty million, five thousand, three hundred six".