130301022313 has 36 divisors (see below), whose sum is σ = 169338586116. Its totient is φ = 99868507200.

The previous prime is 130301022301. The next prime is 130301022377. The reversal of 130301022313 is 313220103031.

It can be written as a sum of positive squares in 2 ways, for example, as 27893342169 + 102407680144 = 167013^2 + 320012^2 .

It is not a de Polignac number, because 130301022313 - 2⁵ = 130301022281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130301022913) 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 35 ways as a sum of consecutive naturals, for example, 181531 + ... + 541807.

Almost surely, 2^130301022313 is an apocalyptic number.

It is an amenable number.

130301022313 is a deficient number, since it is larger than the sum of its proper divisors (39037563803).

130301022313 is a wasteful number, since it uses less digits than its factorization.

130301022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360374 (or 360356 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130301022313 its reverse (313220103031), we get a palindrome (443521125344).

The spelling of 130301022313 in words is "one hundred thirty billion, three hundred one million, twenty-two thousand, three hundred thirteen".