13123301413405 has 12 divisors (see below), whose sum is σ = 16309720144692. Its totient is φ = 10136619019520.

The previous prime is 13123301413403. The next prime is 13123301413433. The reversal of 13123301413405 is 50431410332131.

13123301413405 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 6 ways, for example, as 1607146959289 + 11516154454116 = 1267733^2 + 3393546^2 .

It is not a de Polignac number, because 13123301413405 - 2¹ = 13123301413403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123301413403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1560435916 + ... + 1560444325.

It is an arithmetic number, because the mean of its divisors is an integer number (1359143345391).

Almost surely, 2^{13123301413405} is an apocalyptic number.

It is an amenable number.

13123301413405 is a deficient number, since it is larger than the sum of its proper divisors (3186418731287).

13123301413405 is an equidigital number, since it uses as much as digits as its factorization.

13123301413405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120880304 (or 3120880275 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 13123301413405 its reverse (50431410332131), we get a palindrome (63554711745536).

The spelling of 13123301413405 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, four hundred thirteen thousand, four hundred five".