111006913329 has 27 divisors (see below), whose sum is σ = 173646523947. Its totient is φ = 68303950416.

The previous prime is 111006913319. The next prime is 111006913343. The reversal of 111006913329 is 923319600111.

The square root of 111006913329 is 333177.

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

It can be written as a sum of positive squares in only one way, i.e., 16421141025 + 94585772304 = 128145^2 + 307548^2 .

It is not a de Polignac number, because 111006913329 - 2¹⁹ = 111006389041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111006913293 and 111006913302.

It is not an unprimeable number, because it can be changed into a prime (111006913319) 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 26 ways as a sum of consecutive naturals, for example, 12989632 + ... + 12998174.

Almost surely, 2^111006913329 is an apocalyptic number.

111006913329 is the 333177-th square number.

111006913329 is the 166589-th centered octagonal number.

It is an amenable number.

111006913329 is a deficient number, since it is larger than the sum of its proper divisors (62639610618).

111006913329 is an frugal number, since it uses more digits than its factorization.

111006913329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17118 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

Multiplying 111006913329 by its sum of digits (36), we get a square (3996248879844 = 1999062²).

The spelling of 111006913329 in words is "one hundred eleven billion, six million, nine hundred thirteen thousand, three hundred twenty-nine".