1312113323313 has 24 divisors (see below), whose sum is σ = 2045672620992. Its totient is φ = 805631624928.

The previous prime is 1312113323291. The next prime is 1312113323333. The reversal of 1312113323313 is 3133233112131.

1312113323313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 11 + 332 + 3 + 313 = 666.

It is not a de Polignac number, because 1312113323313 - 2¹⁴ = 1312113306929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312113323333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12605781 + ... + 12709442.

It is an arithmetic number, because the mean of its divisors is an integer number (85236359208).

Almost surely, 2^{1312113323313} is an apocalyptic number.

1312113323313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1312113323313 is a deficient number, since it is larger than the sum of its proper divisors (733559297679).

1312113323313 is a wasteful number, since it uses less digits than its factorization.

1312113323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25315685 (or 25315682 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1312113323313 its reverse (3133233112131), we get a palindrome (4445346435444).

The spelling of 1312113323313 in words is "one trillion, three hundred twelve billion, one hundred thirteen million, three hundred twenty-three thousand, three hundred thirteen".