130075690135329 has 45 divisors (see below), whose sum is σ = 198344034844449. Its totient is φ = 82145266383960.

The previous prime is 130075690135297. The next prime is 130075690135343. The reversal of 130075690135329 is 923531096570031.

The square root of 130075690135329 is 11405073.

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

130075690135329 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 7 + 5 + 6 + 90 + 13 + 532 + 9 = 666.

It is not a de Polignac number, because 130075690135329 - 2⁵ = 130075690135297 is a prime.

It is a super-2 number, since 2×130075690135329² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130075690134329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12351688794 + ... + 12351699324.

Almost surely, 2^{130075690135329} is an apocalyptic number.

130075690135329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

130075690135329 is the 11405073-rd square number.

130075690135329 is the 5702537-th centered octagonal number.

It is an amenable number.

130075690135329 is a deficient number, since it is larger than the sum of its proper divisors (68268344709120).

130075690135329 is an frugal number, since it uses more digits than its factorization.

130075690135329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21144 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 130075690135329 in words is "one hundred thirty trillion, seventy-five billion, six hundred ninety million, one hundred thirty-five thousand, three hundred twenty-nine".