312102013313 has 16 divisors (see below), whose sum is σ = 323913147600. Its totient is φ = 300469948416.

The previous prime is 312102013309. The next prime is 312102013331. The reversal of 312102013313 is 313310201213.

It can be written as a sum of positive squares in 8 ways, for example, as 91368361984 + 220733651329 = 302272^2 + 469823^2 .

It is a cyclic number.

It is not a de Polignac number, because 312102013313 - 2² = 312102013309 is a prime.

It is a super-3 number, since 3×312102013313³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312102016313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26369645 + ... + 26381477.

It is an arithmetic number, because the mean of its divisors is an integer number (20244571725).

Almost surely, 2^312102013313 is an apocalyptic number.

It is an amenable number.

312102013313 is a deficient number, since it is larger than the sum of its proper divisors (11811134287).

312102013313 is a wasteful number, since it uses less digits than its factorization.

312102013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19316.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312102013313 its reverse (313310201213), we get a palindrome (625412214526).

The spelling of 312102013313 in words is "three hundred twelve billion, one hundred two million, thirteen thousand, three hundred thirteen".