130011331113 has 12 divisors (see below), whose sum is σ = 187805633028. Its totient is φ = 86668918560.

The previous prime is 130011331091. The next prime is 130011331123. The reversal of 130011331113 is 311133110031.

It can be written as a sum of positive squares in 2 ways, for example, as 59376043584 + 70635287529 = 243672^2 + 265773^2 .

It is not a de Polignac number, because 130011331113 - 2⁶ = 130011331049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130011331123) 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 11 ways as a sum of consecutive naturals, for example, 283570 + ... + 583467.

It is an arithmetic number, because the mean of its divisors is an integer number (15650469419).

Almost surely, 2^130011331113 is an apocalyptic number.

It is an amenable number.

130011331113 is a deficient number, since it is larger than the sum of its proper divisors (57794301915).

130011331113 is a wasteful number, since it uses less digits than its factorization.

130011331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883704 (or 883701 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 130011331113 its reverse (311133110031), we get a palindrome (441144441144).

The spelling of 130011331113 in words is "one hundred thirty billion, eleven million, three hundred thirty-one thousand, one hundred thirteen".