13299303406041 has 27 divisors (see below), whose sum is σ = 19267656752799. Its totient is φ = 8839719056592.

The previous prime is 13299303406027. The next prime is 13299303406069. The reversal of 13299303406041 is 14060430399231.

It is a happy number.

The square root of 13299303406041 is 3646821.

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

13299303406041 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 9 + 3 + 0 + 34 + 0 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7228973255625 + 6070330150416 = 2688675^2 + 2463804^2 .

It is not a de Polignac number, because 13299303406041 - 2¹¹ = 13299303403993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13299303406001) 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, 4080791070 + ... + 4080794328.

Almost surely, 2^{13299303406041} is an apocalyptic number.

13299303406041 is the 3646821-st square number.

13299303406041 is the 1823411-st centered octagonal number.

It is an amenable number.

13299303406041 is a deficient number, since it is larger than the sum of its proper divisors (5968353346758).

13299303406041 is an frugal number, since it uses more digits than its factorization.

13299303406041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 13299303406041 in words is "thirteen trillion, two hundred ninety-nine billion, three hundred three million, four hundred six thousand, forty-one".