312334021101321 has 48 divisors (see below), whose sum is σ = 463257147525120. Its totient is φ = 202704441757920.

The previous prime is 312334021101253. The next prime is 312334021101329. The reversal of 312334021101321 is 123101120433213.

312334021101321 is a `hidden beast` number, since 3 + 1 + 2 + 334 + 0 + 2 + 1 + 1 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 312334021101321 - 2¹⁷ = 312334020970249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312334021101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150729156 + ... + 152787258.

It is an arithmetic number, because the mean of its divisors is an integer number (9651190573440).

Almost surely, 2^{312334021101321} is an apocalyptic number.

It is an amenable number.

312334021101321 is a deficient number, since it is larger than the sum of its proper divisors (150923126423799).

312334021101321 is a wasteful number, since it uses less digits than its factorization.

312334021101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060946 (or 2060943 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312334021101321 its reverse (123101120433213), we get a palindrome (435435141534534).

The spelling of 312334021101321 in words is "three hundred twelve trillion, three hundred thirty-four billion, twenty-one million, one hundred one thousand, three hundred twenty-one".