1313033961601 has 2 divisors, whose sum is σ = 1313033961602. Its totient is φ = 1313033961600.

The previous prime is 1313033961587. The next prime is 1313033961643. The reversal of 1313033961601 is 1061693303131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1217438597376 + 95595364225 = 1103376^2 + 309185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1313033961601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313033961101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656516980800 + 656516980801.

It is an arithmetic number, because the mean of its divisors is an integer number (656516980801).

Almost surely, 2^{1313033961601} is an apocalyptic number.

It is an amenable number.

1313033961601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313033961601 is an equidigital number, since it uses as much as digits as its factorization.

1313033961601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 37.

It can be divided in two parts, 131303 and 3961601, that added together give a palindrome (4092904).

The spelling of 1313033961601 in words is "one trillion, three hundred thirteen billion, thirty-three million, nine hundred sixty-one thousand, six hundred one".