130317624667351 has 16 divisors (see below), whose sum is σ = 142205818671648. Its totient is φ = 118436289280000.

The previous prime is 130317624667327. The next prime is 130317624667369. The reversal of 130317624667351 is 153766426713031.

It is a cyclic number.

It is not a de Polignac number, because 130317624667351 - 2⁴⁵ = 95133252578519 is a prime.

It is a super-3 number, since 3×130317624667351³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130317624667292 and 130317624667301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130317624665351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640558331 + ... + 1640637763.

It is an arithmetic number, because the mean of its divisors is an integer number (8887863666978).

Almost surely, 2^{130317624667351} is an apocalyptic number.

130317624667351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130317624667351 is a deficient number, since it is larger than the sum of its proper divisors (11888194004297).

130317624667351 is a wasteful number, since it uses less digits than its factorization.

130317624667351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120722.

The product of its (nonzero) digits is 11430720, while the sum is 55.

The spelling of 130317624667351 in words is "one hundred thirty trillion, three hundred seventeen billion, six hundred twenty-four million, six hundred sixty-seven thousand, three hundred fifty-one".