130986354035329 has 27 divisors (see below), whose sum is σ = 150674360865417. Its totient is φ = 113795902007424.

The previous prime is 130986354035263. The next prime is 130986354035351. The reversal of 130986354035329 is 923530453689031.

The square root of 130986354035329 is 11444927.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1182714975729 + 129803639059600 = 1087527^2 + 11393140^2 .

It is not a de Polignac number, because 130986354035329 - 2¹⁵ = 130986354002561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130986354035359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2529302974 + ... + 2529354760.

Almost surely, 2^{130986354035329} is an apocalyptic number.

130986354035329 is the 11444927-th square number.

130986354035329 is the 5722464-th centered octagonal number.

It is an amenable number.

130986354035329 is a deficient number, since it is larger than the sum of its proper divisors (19688006830088).

130986354035329 is an frugal number, since it uses more digits than its factorization.

130986354035329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103634 (or 51817 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 61.

The spelling of 130986354035329 in words is "one hundred thirty trillion, nine hundred eighty-six billion, three hundred fifty-four million, thirty-five thousand, three hundred twenty-nine".