1303133646601 has 2 divisors, whose sum is σ = 1303133646602. Its totient is φ = 1303133646600.

The previous prime is 1303133646599. The next prime is 1303133646629. The reversal of 1303133646601 is 1066463313031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1038613727376 + 264519919225 = 1019124^2 + 514315^2 .

It is an emirp because it is prime and its reverse (1066463313031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1303133646601 - 2¹ = 1303133646599 is a prime.

Together with 1303133646599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1303133646691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651566823300 + 651566823301.

It is an arithmetic number, because the mean of its divisors is an integer number (651566823301).

Almost surely, 2^{1303133646601} is an apocalyptic number.

It is an amenable number.

1303133646601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303133646601 is an equidigital number, since it uses as much as digits as its factorization.

1303133646601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 1303133646601 its reverse (1066463313031), we get a palindrome (2369596959632).

The spelling of 1303133646601 in words is "one trillion, three hundred three billion, one hundred thirty-three million, six hundred forty-six thousand, six hundred one".