3641311803313 has 2 divisors, whose sum is σ = 3641311803314. Its totient is φ = 3641311803312.

The previous prime is 3641311803281. The next prime is 3641311803323. The reversal of 3641311803313 is 3133081131463.

3641311803313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2964068392609 + 677243410704 = 1721647^2 + 822948^2 .

It is a cyclic number.

It is not a de Polignac number, because 3641311803313 - 2⁵ = 3641311803281 is a prime.

It is not a weakly prime, because it can be changed into another prime (3641311803323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820655901656 + 1820655901657.

It is an arithmetic number, because the mean of its divisors is an integer number (1820655901657).

Almost surely, 2^{3641311803313} is an apocalyptic number.

It is an amenable number.

3641311803313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3641311803313 is an equidigital number, since it uses as much as digits as its factorization.

3641311803313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

Adding to 3641311803313 its reverse (3133081131463), we get a palindrome (6774392934776).

The spelling of 3641311803313 in words is "three trillion, six hundred forty-one billion, three hundred eleven million, eight hundred three thousand, three hundred thirteen".