13105040022441 has 20 divisors (see below), whose sum is σ = 19588741827204. Its totient is φ = 8731303567200.

The previous prime is 13105040022433. The next prime is 13105040022491. The reversal of 13105040022441 is 14422004050131.

13105040022441 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 0 + 400 + 2 + 244 + 1 = 666.

13105040022441 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 4595106704400 + 8509933318041 = 2143620^2 + 2917179^2 .

It is not a de Polignac number, because 13105040022441 - 2³ = 13105040022433 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 (13105040022401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49773270 + ... + 50035871.

Almost surely, 2^{13105040022441} is an apocalyptic number.

It is an amenable number.

13105040022441 is a deficient number, since it is larger than the sum of its proper divisors (6483701804763).

13105040022441 is an equidigital number, since it uses as much as digits as its factorization.

13105040022441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99810774 (or 99810765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13105040022441 its reverse (14422004050131), we get a palindrome (27527044072572).

The spelling of 13105040022441 in words is "thirteen trillion, one hundred five billion, forty million, twenty-two thousand, four hundred forty-one".