1312312013113 has 8 divisors (see below), whose sum is σ = 1337117171400. Its totient is φ = 1287508505088.

The previous prime is 1312312013069. The next prime is 1312312013119. The reversal of 1312312013113 is 3113102132131.

It can be written as a sum of positive squares in 4 ways, for example, as 190805596969 + 1121506416144 = 436813^2 + 1059012^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312312013113 - 2¹³ = 1312312004921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312312013119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256073 + ... + 2049961.

It is an arithmetic number, because the mean of its divisors is an integer number (167139646425).

Almost surely, 2^{1312312013113} is an apocalyptic number.

It is an amenable number.

1312312013113 is a deficient number, since it is larger than the sum of its proper divisors (24805158287).

1312312013113 is an equidigital number, since it uses as much as digits as its factorization.

1312312013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825131.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1312312013113 its reverse (3113102132131), we get a palindrome (4425414145244).

The spelling of 1312312013113 in words is "one trillion, three hundred twelve billion, three hundred twelve million, thirteen thousand, one hundred thirteen".