13011313033305 has 16 divisors (see below), whose sum is σ = 23131223170560. Its totient is φ = 6939366951024.

The previous prime is 13011313033289. The next prime is 13011313033307. The reversal of 13011313033305 is 50333031311031.

13011313033305 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 313 + 0 + 3 + 330 + 5 = 666.

It is not a de Polignac number, because 13011313033305 - 2⁴ = 13011313033289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13011313033307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48190048137 + ... + 48190048406.

It is an arithmetic number, because the mean of its divisors is an integer number (1445701448160).

Almost surely, 2^{13011313033305} is an apocalyptic number.

13011313033305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13011313033305 is a deficient number, since it is larger than the sum of its proper divisors (10119910137255).

13011313033305 is an equidigital number, since it uses as much as digits as its factorization.

13011313033305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96380096557 (or 96380096551 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 27.

Adding to 13011313033305 its reverse (50333031311031), we get a palindrome (63344344344336).

The spelling of 13011313033305 in words is "thirteen trillion, eleven billion, three hundred thirteen million, thirty-three thousand, three hundred five".