113095672209 has 27 divisors (see below), whose sum is σ = 176913747387. Its totient is φ = 69589265616.

The previous prime is 113095672201. The next prime is 113095672211. The reversal of 113095672209 is 902276590311.

It is a happy number.

The square root of 113095672209 is 336297.

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., 16730129025 + 96365543184 = 129345^2 + 310428^2 .

It is not a de Polignac number, because 113095672209 - 2³ = 113095672201 is a prime.

It is a super-3 number, since 3×113095672209³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113095672201) 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, 13111272 + ... + 13119894.

Almost surely, 2^113095672209 is an apocalyptic number.

113095672209 is the 336297-th square number.

113095672209 is the 168149-th centered octagonal number.

It is an amenable number.

113095672209 is a deficient number, since it is larger than the sum of its proper divisors (63818075178).

113095672209 is an frugal number, since it uses more digits than its factorization.

113095672209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 113095672209 in words is "one hundred thirteen billion, ninety-five million, six hundred seventy-two thousand, two hundred nine".