13105332201041 has 2 divisors, whose sum is σ = 13105332201042. Its totient is φ = 13105332201040.

The previous prime is 13105332201007. The next prime is 13105332201097. The reversal of 13105332201041 is 14010223350131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9625227027025 + 3480105174016 = 3102455^2 + 1865504^2 .

It is an emirp because it is prime and its reverse (14010223350131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105332201041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105332201041.

It is not a weakly prime, because it can be changed into another prime (13105332201001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552666100520 + 6552666100521.

It is an arithmetic number, because the mean of its divisors is an integer number (6552666100521).

Almost surely, 2^{13105332201041} is an apocalyptic number.

It is an amenable number.

13105332201041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105332201041 is an equidigital number, since it uses as much as digits as its factorization.

13105332201041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 13105332201041 its reverse (14010223350131), we get a palindrome (27115555551172).

The spelling of 13105332201041 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, two hundred one thousand, forty-one".