13478080824233 has 8 divisors (see below), whose sum is σ = 13842432304008. Its totient is φ = 13113733503744.

The previous prime is 13478080824163. The next prime is 13478080824269. The reversal of 13478080824233 is 33242808087431.

It can be written as a sum of positive squares in 4 ways, for example, as 1794721067584 + 11683359756649 = 1339672^2 + 3418093^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13478080824233 - 2²⁴ = 13478064047017 is a prime.

It is a super-3 number, since 3×13478080824233³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13478080824283) 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 7 ways as a sum of consecutive naturals, for example, 6201185 + ... + 8087697.

It is an arithmetic number, because the mean of its divisors is an integer number (1730304038001).

Almost surely, 2^{13478080824233} is an apocalyptic number.

It is an amenable number.

13478080824233 is a deficient number, since it is larger than the sum of its proper divisors (364351479775).

13478080824233 is a wasteful number, since it uses less digits than its factorization.

13478080824233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079643.

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 13478080824233 in words is "thirteen trillion, four hundred seventy-eight billion, eighty million, eight hundred twenty-four thousand, two hundred thirty-three".