1313306300561 has 2 divisors, whose sum is σ = 1313306300562. Its totient is φ = 1313306300560.

The previous prime is 1313306300543. The next prime is 1313306300567. The reversal of 1313306300561 is 1650036033131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1038605574400 + 274700726161 = 1019120^2 + 524119^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313306300561 - 2²⁶ = 1313239191697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313306300567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656653150280 + 656653150281.

It is an arithmetic number, because the mean of its divisors is an integer number (656653150281).

Almost surely, 2^{1313306300561} is an apocalyptic number.

It is an amenable number.

1313306300561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313306300561 is an equidigital number, since it uses as much as digits as its factorization.

1313306300561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The spelling of 1313306300561 in words is "one trillion, three hundred thirteen billion, three hundred six million, three hundred thousand, five hundred sixty-one".