312221023311321 has 32 divisors (see below), whose sum is σ = 478687229011200. Its totient is φ = 200891071987200.

The previous prime is 312221023311269. The next prime is 312221023311331. The reversal of 312221023311321 is 123113320122213.

312221023311321 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 1 + 0 + 2 + 331 + 1 + 321 = 666.

It is not a de Polignac number, because 312221023311321 - 2¹⁰ = 312221023310297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312221023311331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76158136 + ... + 80153001.

It is an arithmetic number, because the mean of its divisors is an integer number (14958975906600).

Almost surely, 2^{312221023311321} is an apocalyptic number.

It is an amenable number.

312221023311321 is a deficient number, since it is larger than the sum of its proper divisors (166466205699879).

312221023311321 is a wasteful number, since it uses less digits than its factorization.

312221023311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156313726 (or 156313720 counting only the distinct ones).

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

Adding to 312221023311321 its reverse (123113320122213), we get a palindrome (435334343433534).

The spelling of 312221023311321 in words is "three hundred twelve trillion, two hundred twenty-one billion, twenty-three million, three hundred eleven thousand, three hundred twenty-one".