312123213011333 has 16 divisors (see below), whose sum is σ = 314813744609280. Its totient is φ = 309444672600000.

The previous prime is 312123213011321. The next prime is 312123213011369. The reversal of 312123213011333 is 333110312321213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312123213011333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312123213011296 and 312123213011305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123213011933) 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 15 ways as a sum of consecutive naturals, for example, 232475708 + ... + 233814458.

It is an arithmetic number, because the mean of its divisors is an integer number (19675859038080).

Almost surely, 2^{312123213011333} is an apocalyptic number.

It is an amenable number.

312123213011333 is a deficient number, since it is larger than the sum of its proper divisors (2690531597947).

312123213011333 is a wasteful number, since it uses less digits than its factorization.

312123213011333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343228.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 312123213011333 its reverse (333110312321213), we get a palindrome (645233525332546).

The spelling of 312123213011333 in words is "three hundred twelve trillion, one hundred twenty-three billion, two hundred thirteen million, eleven thousand, three hundred thirty-three".