11120831013681 has 81 divisors (see below), whose sum is σ = 16708419968331. Its totient is φ = 7127595535104.

The previous prime is 11120831013679. The next prime is 11120831013697. The reversal of 11120831013681 is 18631013802111.

It is a happy number.

The square root of 11120831013681 is 3334791.

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

11120831013681 is a `hidden beast` number, since 1 + 1 + 1 + 208 + 310 + 136 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4518069080625 + 6602761933056 = 2125575^2 + 2569584^2 .

It is not a de Polignac number, because 11120831013681 - 2¹ = 11120831013679 is a prime.

It is a super-2 number, since 2×11120831013681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120831011681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31503770401 + ... + 31503770753.

Almost surely, 2^{11120831013681} is an apocalyptic number.

11120831013681 is the 3334791-st square number.

11120831013681 is the 1667396-th centered octagonal number.

It is an amenable number.

11120831013681 is a deficient number, since it is larger than the sum of its proper divisors (5587588954650).

11120831013681 is an frugal number, since it uses more digits than its factorization.

11120831013681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Multiplying 11120831013681 by its sum of digits (36), we get a square (400349916492516 = 20008746²).

Adding to 11120831013681 its reverse (18631013802111), we get a palindrome (29751844815792).

It can be divided in two parts, 1112083 and 1013681, that added together give a square (2125764 = 1458²).

The spelling of 11120831013681 in words is "eleven trillion, one hundred twenty billion, eight hundred thirty-one million, thirteen thousand, six hundred eighty-one".