13105330034441 has 12 divisors (see below), whose sum is σ = 13831573260852. Its totient is φ = 12415408717824.

The previous prime is 13105330034399. The next prime is 13105330034453. The reversal of 13105330034441 is 14443003350131.

13105330034441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5044983178816 + 8060346855625 = 2246104^2 + 2839075^2 .

It is not a de Polignac number, because 13105330034441 - 2³⁸ = 12830452127497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13105330034398 and 13105330034407.

It is not an unprimeable number, because it can be changed into a prime (13105330034141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32794265 + ... + 33191481.

It is an arithmetic number, because the mean of its divisors is an integer number (1152631105071).

Almost surely, 2^{13105330034441} is an apocalyptic number.

It is an amenable number.

13105330034441 is a deficient number, since it is larger than the sum of its proper divisors (726243226411).

13105330034441 is an equidigital number, since it uses as much as digits as its factorization.

13105330034441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488648 (or 488629 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 13105330034441 its reverse (14443003350131), we get a palindrome (27548333384572).

The spelling of 13105330034441 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, thirty-four thousand, four hundred forty-one".