1312020101313 has 48 divisors (see below), whose sum is σ = 1984868496000. Its totient is φ = 833553921024.

The previous prime is 1312020101191. The next prime is 1312020101339. The reversal of 1312020101313 is 3131010202131.

1312020101313 is a `hidden beast` number, since 131 + 20 + 201 + 0 + 1 + 313 = 666.

It is not a de Polignac number, because 1312020101313 - 2⁸ = 1312020101057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312020101363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74797098 + ... + 74814636.

It is an arithmetic number, because the mean of its divisors is an integer number (41351427000).

Almost surely, 2^{1312020101313} is an apocalyptic number.

It is an amenable number.

1312020101313 is a deficient number, since it is larger than the sum of its proper divisors (672848394687).

1312020101313 is a wasteful number, since it uses less digits than its factorization.

1312020101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18886 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312020101313 its reverse (3131010202131), we get a palindrome (4443030303444).

The spelling of 1312020101313 in words is "one trillion, three hundred twelve billion, twenty million, one hundred one thousand, three hundred thirteen".