13353445410413 has 2 divisors, whose sum is σ = 13353445410414. Its totient is φ = 13353445410412.

The previous prime is 13353445410397. The next prime is 13353445410439. The reversal of 13353445410413 is 31401454435331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7331736767524 + 6021708642889 = 2707718^2 + 2453917^2 .

It is a cyclic number.

It is not a de Polignac number, because 13353445410413 - 2⁴ = 13353445410397 is a prime.

It is a super-3 number, since 3×13353445410413³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13353445410493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6676722705206 + 6676722705207.

It is an arithmetic number, because the mean of its divisors is an integer number (6676722705207).

Almost surely, 2^{13353445410413} is an apocalyptic number.

It is an amenable number.

13353445410413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13353445410413 is an equidigital number, since it uses as much as digits as its factorization.

13353445410413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 13353445410413 its reverse (31401454435331), we get a palindrome (44754899845744).

The spelling of 13353445410413 in words is "thirteen trillion, three hundred fifty-three billion, four hundred forty-five million, four hundred ten thousand, four hundred thirteen".