312103101133313 has 12 divisors (see below), whose sum is σ = 372871107037332. Its totient is φ = 260286756156000.

The previous prime is 312103101133303. The next prime is 312103101133337. The reversal of 312103101133313 is 313331101301213.

It can be written as a sum of positive squares in 2 ways, for example, as 274978244971024 + 37124856162289 = 16582468^2 + 6093017^2 .

It is not a de Polignac number, because 312103101133313 - 2⁶ = 312103101133249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312103101133303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86073660938 + ... + 86073664563.

It is an arithmetic number, because the mean of its divisors is an integer number (31072592253111).

Almost surely, 2^{312103101133313} is an apocalyptic number.

It is an amenable number.

312103101133313 is a deficient number, since it is larger than the sum of its proper divisors (60768005904019).

312103101133313 is a wasteful number, since it uses less digits than its factorization.

312103101133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172147325552 (or 172147325545 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 312103101133313 its reverse (313331101301213), we get a palindrome (625434202434526).

The spelling of 312103101133313 in words is "three hundred twelve trillion, one hundred three billion, one hundred one million, one hundred thirty-three thousand, three hundred thirteen".