130117611026657 has 16 divisors (see below), whose sum is σ = 136157707123200. Its totient is φ = 124181914792320.

The previous prime is 130117611026593. The next prime is 130117611026731. The reversal of 130117611026657 is 756620116711031.

It is a cyclic number.

It is not a de Polignac number, because 130117611026657 - 2⁶ = 130117611026593 is a prime.

It is a super-2 number, since 2×130117611026657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130117611326657) 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, 1029968 + ... + 16164654.

It is an arithmetic number, because the mean of its divisors is an integer number (8509856695200).

Almost surely, 2^{130117611026657} is an apocalyptic number.

It is an amenable number.

130117611026657 is a deficient number, since it is larger than the sum of its proper divisors (6040096096543).

130117611026657 is a wasteful number, since it uses less digits than its factorization.

130117611026657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15138136.

The product of its (nonzero) digits is 317520, while the sum is 47.

Adding to 130117611026657 its reverse (756620116711031), we get a palindrome (886737727737688).

The spelling of 130117611026657 in words is "one hundred thirty trillion, one hundred seventeen billion, six hundred eleven million, twenty-six thousand, six hundred fifty-seven".