1310121201313 has 2 divisors, whose sum is σ = 1310121201314. Its totient is φ = 1310121201312.

The previous prime is 1310121201293. The next prime is 1310121201371. The reversal of 1310121201313 is 3131021210131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1085413916224 + 224707285089 = 1041832^2 + 474033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1310121201313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1310121201373) 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, 655060600656 + 655060600657.

It is an arithmetic number, because the mean of its divisors is an integer number (655060600657).

Almost surely, 2^{1310121201313} is an apocalyptic number.

It is an amenable number.

1310121201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310121201313 is an equidigital number, since it uses as much as digits as its factorization.

1310121201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1310121201313 its reverse (3131021210131), we get a palindrome (4441142411444).

The spelling of 1310121201313 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, two hundred one thousand, three hundred thirteen".