113144104161 has 27 divisors (see below), whose sum is σ = 179655968947. Its totient is φ = 68565456960.

The previous prime is 113144104147. The next prime is 113144104181. The reversal of 113144104161 is 161401441311.

The square root of 113144104161 is 336369.

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., 81011390625 + 32132713536 = 284625^2 + 179256^2 .

It is not a de Polignac number, because 113144104161 - 2¹⁵ = 113144071393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113144104181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11095081 + ... + 11105273.

Almost surely, 2^113144104161 is an apocalyptic number.

113144104161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113144104161 is the 336369-th square number.

113144104161 is the 168185-th centered octagonal number.

It is an amenable number.

113144104161 is a deficient number, since it is larger than the sum of its proper divisors (66511864786).

113144104161 is an frugal number, since it uses more digits than its factorization.

113144104161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 113144104161 its reverse (161401441311), we get a palindrome (274545545472).

The spelling of 113144104161 in words is "one hundred thirteen billion, one hundred forty-four million, one hundred four thousand, one hundred sixty-one".