130010011313 has 24 divisors (see below), whose sum is σ = 162892519272. Its totient is φ = 102850642944.

The previous prime is 130010011289. The next prime is 130010011421. The reversal of 130010011313 is 313110010031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5463131569 + 124546879744 = 73913^2 + 352912^2 .

It is not a de Polignac number, because 130010011313 - 2¹² = 130010007217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130010011213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8615531 + ... + 8630607.

It is an arithmetic number, because the mean of its divisors is an integer number (6787188303).

Almost surely, 2^130010011313 is an apocalyptic number.

130010011313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130010011313 is a deficient number, since it is larger than the sum of its proper divisors (32882507959).

130010011313 is a wasteful number, since it uses less digits than its factorization.

130010011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28641 (or 28634 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 130010011313 its reverse (313110010031), we get a palindrome (443120021344).

The spelling of 130010011313 in words is "one hundred thirty billion, ten million, eleven thousand, three hundred thirteen".