13123314410441 has 2 divisors, whose sum is σ = 13123314410442. Its totient is φ = 13123314410440.

The previous prime is 13123314410419. The next prime is 13123314410447. The reversal of 13123314410441 is 14401441332131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9067198970041 + 4056115440400 = 3011179^2 + 2013980^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123314410441 - 2³⁰ = 13122240668617 is a prime.

It is a super-2 number, since 2×13123314410441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13123314410398 and 13123314410407.

It is not a weakly prime, because it can be changed into another prime (13123314410447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561657205220 + 6561657205221.

It is an arithmetic number, because the mean of its divisors is an integer number (6561657205221).

Almost surely, 2^{13123314410441} is an apocalyptic number.

It is an amenable number.

13123314410441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123314410441 is an equidigital number, since it uses as much as digits as its factorization.

13123314410441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 13123314410441 its reverse (14401441332131), we get a palindrome (27524755742572).

The spelling of 13123314410441 in words is "thirteen trillion, one hundred twenty-three billion, three hundred fourteen million, four hundred ten thousand, four hundred forty-one".