312310232133313 has 8 divisors (see below), whose sum is σ = 330681921652008. Its totient is φ = 293938598102784.

The previous prime is 312310232133283. The next prime is 312310232133331. The reversal of 312310232133313 is 313331232013213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 284326470692289 + 27983761441024 = 16861983^2 + 5289968^2 .

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

It is not a de Polignac number, because 312310232133313 - 2⁵ = 312310232133281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312310232133113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993506 + ... + 25071787.

It is an arithmetic number, because the mean of its divisors is an integer number (41335240206501).

Almost surely, 2^{312310232133313} is an apocalyptic number.

It is an amenable number.

312310232133313 is a deficient number, since it is larger than the sum of its proper divisors (18371689518695).

312310232133313 is a wasteful number, since it uses less digits than its factorization.

312310232133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27744083.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 312310232133313 its reverse (313331232013213), we get a palindrome (625641464146526).

The spelling of 312310232133313 in words is "three hundred twelve trillion, three hundred ten billion, two hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".