113519803329 has 81 divisors (see below), whose sum is σ = 181615469763. Its totient is φ = 68312623104.

The previous prime is 113519803321. The next prime is 113519803393. The reversal of 113519803329 is 923308915311.

The square root of 113519803329 is 336927.

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

113519803329 is a `hidden beast` number, since 1 + 1 + 3 + 519 + 80 + 33 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111759833025 + 1759970304 = 334305^2 + 41952^2 .

It is not a de Polignac number, because 113519803329 - 2³ = 113519803321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113519803321) 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, 441711169 + ... + 441711425.

Almost surely, 2^113519803329 is an apocalyptic number.

113519803329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

113519803329 is the 336927-th square number.

113519803329 is the 168464-th centered octagonal number.

It is an amenable number.

113519803329 is a deficient number, since it is larger than the sum of its proper divisors (68095666434).

113519803329 is an equidigital number, since it uses as much as digits as its factorization.

113519803329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 113519803329 in words is "one hundred thirteen billion, five hundred nineteen million, eight hundred three thousand, three hundred twenty-nine".