10405041441313 has 2 divisors, whose sum is σ = 10405041441314. Its totient is φ = 10405041441312.

The previous prime is 10405041441293. The next prime is 10405041441371. The reversal of 10405041441313 is 31314414050401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8699060639889 + 1705980801424 = 2949417^2 + 1306132^2 .

It is an emirp because it is prime and its reverse (31314414050401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10405041441313 - 2¹⁷ = 10405041310241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10405041441383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202520720656 + 5202520720657.

It is an arithmetic number, because the mean of its divisors is an integer number (5202520720657).

Almost surely, 2^{10405041441313} is an apocalyptic number.

It is an amenable number.

10405041441313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405041441313 is an equidigital number, since it uses as much as digits as its factorization.

10405041441313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10405041441313 its reverse (31314414050401), we get a palindrome (41719455491714).

The spelling of 10405041441313 in words is "ten trillion, four hundred five billion, forty-one million, four hundred forty-one thousand, three hundred thirteen".