13105403311441 has 16 divisors (see below), whose sum is σ = 15010294066560. Its totient is φ = 11208687114240.

The previous prime is 13105403311439. The next prime is 13105403311453. The reversal of 13105403311441 is 14411330450131.

It is not a de Polignac number, because 13105403311441 - 2¹ = 13105403311439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105403311411) 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, 96593271 + ... + 96728851.

It is an arithmetic number, because the mean of its divisors is an integer number (938143379160).

Almost surely, 2^{13105403311441} is an apocalyptic number.

It is an amenable number.

13105403311441 is a deficient number, since it is larger than the sum of its proper divisors (1904890755119).

13105403311441 is a wasteful number, since it uses less digits than its factorization.

13105403311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165624.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 13105403311441 its reverse (14411330450131), we get a palindrome (27516733761572).

The spelling of 13105403311441 in words is "thirteen trillion, one hundred five billion, four hundred three million, three hundred eleven thousand, four hundred forty-one".