130836788668881 has 9 divisors (see below), whose sum is σ = 188986522088091. Its totient is φ = 87224502902472.

The previous prime is 130836788668847. The next prime is 130836788668973. The reversal of 130836788668881 is 188866887638031.

The square root of 130836788668881 is 11438391.

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

130836788668881 is a `hidden beast` number, since 1 + 308 + 36 + 78 + 8 + 66 + 88 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17569384812225 + 113267403856656 = 4191585^2 + 10642716^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 130836788668881 - 2¹⁹ = 130836788144593 is a prime.

It is a super-2 number, since 2×130836788668881² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130836788668881.

It is not an unprimeable number, because it can be changed into a prime (130836788668801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32408775 + ... + 36221571.

Almost surely, 2^{130836788668881} is an apocalyptic number.

130836788668881 is the 11438391-st square number.

130836788668881 is the 5719196-th centered octagonal number.

It is an amenable number.

130836788668881 is a deficient number, since it is larger than the sum of its proper divisors (58149733419210).

130836788668881 is an frugal number, since it uses more digits than its factorization.

130836788668881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625600 (or 3812800 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 130836788668881 in words is "one hundred thirty trillion, eight hundred thirty-six billion, seven hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred eighty-one".