312031332133103 has 24 divisors (see below), whose sum is σ = 358175157900000. Its totient is φ = 271114351073280.

The previous prime is 312031332133097. The next prime is 312031332133127. The reversal of 312031332133103 is 301331233130213.

It is not a de Polignac number, because 312031332133103 - 2¹⁸ = 312031331870959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031332133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41408138 + ... + 48360071.

It is an arithmetic number, because the mean of its divisors is an integer number (14923964912500).

Almost surely, 2^{312031332133103} is an apocalyptic number.

312031332133103 is a deficient number, since it is larger than the sum of its proper divisors (46143825766897).

312031332133103 is a wasteful number, since it uses less digits than its factorization.

312031332133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89769503 (or 89769492 counting only the distinct ones).

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

Adding to 312031332133103 its reverse (301331233130213), we get a palindrome (613362565263316).

The spelling of 312031332133103 in words is "three hundred twelve trillion, thirty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred three".