13085300881 has 9 divisors (see below), whose sum is σ = 13275478971. Its totient is φ = 12897814032.

The previous prime is 13085300863. The next prime is 13085300981. The reversal of 13085300881 is 18800358031.

The square root of 13085300881 is 114391.

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

13085300881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7427854225 + 5657446656 = 86185^2 + 75216^2 .

It is not a de Polignac number, because 13085300881 - 2¹¹ = 13085298833 is a prime.

It is a super-2 number, since 2×13085300881² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13085300881.

It is not an unprimeable number, because it can be changed into a prime (13085300981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8349760 + ... + 8351326.

It is an arithmetic number, because the mean of its divisors is an integer number (1475053219).

Almost surely, 2^13085300881 is an apocalyptic number.

13085300881 is the 114391-st square number.

13085300881 is the 57196-th centered octagonal number.

It is an amenable number.

13085300881 is a deficient number, since it is larger than the sum of its proper divisors (190178090).

13085300881 is an frugal number, since it uses more digits than its factorization.

13085300881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 13085300881 in words is "thirteen billion, eighty-five million, three hundred thousand, eight hundred eighty-one".