312303320131313 has 6 divisors (see below), whose sum is σ = 363291617295666. Its totient is φ = 267688560112512.

The previous prime is 312303320131301. The next prime is 312303320131351. The reversal of 312303320131313 is 313131023303213.

It can be written as a sum of positive squares in only one way, i.e., 255254559449344 + 57048760681969 = 15976688^2 + 7553063^2 .

It is not a de Polignac number, because 312303320131313 - 2¹⁰ = 312303320130289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312303320131213) 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 5 ways as a sum of consecutive naturals, for example, 3186768572720 + ... + 3186768572817.

It is an arithmetic number, because the mean of its divisors is an integer number (60548602882611).

Almost surely, 2^{312303320131313} is an apocalyptic number.

It is an amenable number.

312303320131313 is a deficient number, since it is larger than the sum of its proper divisors (50988297164353).

312303320131313 is an equidigital number, since it uses as much as digits as its factorization.

312303320131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373537145551 (or 6373537145544 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 312303320131313 its reverse (313131023303213), we get a palindrome (625434343434526).

The spelling of 312303320131313 in words is "three hundred twelve trillion, three hundred three billion, three hundred twenty million, one hundred thirty-one thousand, three hundred thirteen".