1310121320313 has 32 divisors (see below), whose sum is σ = 1916521084800. Its totient is φ = 791139926016.

The previous prime is 1310121320269. The next prime is 1310121320381. The reversal of 1310121320313 is 3130231210131.

It is a happy number.

It is not a de Polignac number, because 1310121320313 - 2²⁰ = 1310120271737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1310121320313.

It is not an unprimeable number, because it can be changed into a prime (1310121320383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770553 + ... + 1792761.

It is an arithmetic number, because the mean of its divisors is an integer number (59891283900).

Almost surely, 2^{1310121320313} is an apocalyptic number.

1310121320313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310121320313 is a deficient number, since it is larger than the sum of its proper divisors (606399764487).

1310121320313 is a wasteful number, since it uses less digits than its factorization.

1310121320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022841.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1310121320313 its reverse (3130231210131), we get a palindrome (4440352530444).

The spelling of 1310121320313 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, three hundred twenty thousand, three hundred thirteen".