130130314137 has 48 divisors (see below), whose sum is σ = 202200570000. Its totient is φ = 80356810752.

The previous prime is 130130314109. The next prime is 130130314159. The reversal of 130130314137 is 731413031031.

130130314137 is a `hidden beast` number, since 1 + 301 + 30 + 314 + 13 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2707016841 + 127423297296 = 52029^2 + 356964^2 .

It is not a de Polignac number, because 130130314137 - 2¹⁸ = 130130051993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130130314137.

It is not an unprimeable number, because it can be changed into a prime (130130314337) 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 47 ways as a sum of consecutive naturals, for example, 2458689 + ... + 2511057.

It is an arithmetic number, because the mean of its divisors is an integer number (4212511875).

Almost surely, 2^130130314137 is an apocalyptic number.

130130314137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130130314137 is a deficient number, since it is larger than the sum of its proper divisors (72070255863).

130130314137 is a wasteful number, since it uses less digits than its factorization.

130130314137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52650 (or 52647 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 130130314137 its reverse (731413031031), we get a palindrome (861543345168).

The spelling of 130130314137 in words is "one hundred thirty billion, one hundred thirty million, three hundred fourteen thousand, one hundred thirty-seven".