1310301110313 has 24 divisors (see below), whose sum is σ = 2043485949960. Its totient is φ = 804266265600.

The previous prime is 1310301110299. The next prime is 1310301110333. The reversal of 1310301110313 is 3130111030131.

1310301110313 is a `hidden beast` number, since 1 + 310 + 30 + 1 + 1 + 10 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45425249424 + 1264875860889 = 213132^2 + 1124667^2 .

It is not a de Polignac number, because 1310301110313 - 2⁸ = 1310301110057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1310301110333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14349288 + ... + 14440313.

It is an arithmetic number, because the mean of its divisors is an integer number (85145247915).

Almost surely, 2^{1310301110313} is an apocalyptic number.

1310301110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310301110313 is a deficient number, since it is larger than the sum of its proper divisors (733184839647).

1310301110313 is a wasteful number, since it uses less digits than its factorization.

1310301110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28790009 (or 28790006 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1310301110313 its reverse (3130111030131), we get a palindrome (4440412140444).

The spelling of 1310301110313 in words is "one trillion, three hundred ten billion, three hundred one million, one hundred ten thousand, three hundred thirteen".