2413033121329 has 2 divisors, whose sum is σ = 2413033121330. Its totient is φ = 2413033121328.

The previous prime is 2413033121269. The next prime is 2413033121333. The reversal of 2413033121329 is 9231213303142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2318493475600 + 94539645729 = 1522660^2 + 307473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2413033121329 - 2⁷ = 2413033121201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2413033121294 and 2413033121303.

It is not a weakly prime, because it can be changed into another prime (2413033121339) 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, 1206516560664 + 1206516560665.

It is an arithmetic number, because the mean of its divisors is an integer number (1206516560665).

Almost surely, 2^{2413033121329} is an apocalyptic number.

It is an amenable number.

2413033121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413033121329 is an equidigital number, since it uses as much as digits as its factorization.

2413033121329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 2413033121329 in words is "two trillion, four hundred thirteen billion, thirty-three million, one hundred twenty-one thousand, three hundred twenty-nine".