13105441121233 has 16 divisors (see below), whose sum is σ = 13965653514960. Its totient is φ = 12255161757696.

The previous prime is 13105441121207. The next prime is 13105441121237. The reversal of 13105441121233 is 33212114450131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2903728465089 + 10201712656144 = 1704033^2 + 3194012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105441121233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13105441121195 and 13105441121204.

It is not an unprimeable number, because it can be changed into a prime (13105441121237) 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, 42478233 + ... + 42785641.

It is an arithmetic number, because the mean of its divisors is an integer number (872853344685).

Almost surely, 2^{13105441121233} is an apocalyptic number.

It is an amenable number.

13105441121233 is a deficient number, since it is larger than the sum of its proper divisors (860212393727).

13105441121233 is a wasteful number, since it uses less digits than its factorization.

13105441121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323556.

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

Adding to 13105441121233 its reverse (33212114450131), we get a palindrome (46317555571364).

The spelling of 13105441121233 in words is "thirteen trillion, one hundred five billion, four hundred forty-one million, one hundred twenty-one thousand, two hundred thirty-three".