13412097036009 has 99 divisors (see below), whose sum is σ = 23413483453143. Its totient is φ = 7660495739232.

The previous prime is 13412097036001. The next prime is 13412097036029. The reversal of 13412097036009 is 90063079021431.

The square root of 13412097036009 is 3662253.

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

13412097036009 is a `hidden beast` number, since 1 + 34 + 1 + 2 + 0 + 9 + 7 + 0 + 3 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 990194157225 + 12421902878784 = 995085^2 + 3524472^2 .

It is not a de Polignac number, because 13412097036009 - 2³ = 13412097036001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13412097036001) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 6229491277 + ... + 6229493429.

Almost surely, 2^{13412097036009} is an apocalyptic number.

13412097036009 is the 3662253-rd square number.

13412097036009 is the 1831127-th centered octagonal number.

It is an amenable number.

13412097036009 is a deficient number, since it is larger than the sum of its proper divisors (10001386417134).

13412097036009 is an frugal number, since it uses more digits than its factorization.

13412097036009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13412097036009 in words is "thirteen trillion, four hundred twelve billion, ninety-seven million, thirty-six thousand, nine".