312343234121321 has 16 divisors (see below), whose sum is σ = 340153642216080. Its totient is φ = 285073485312000.

The previous prime is 312343234121299. The next prime is 312343234121357. The reversal of 312343234121321 is 123121432343213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37075482593296 + 275267751528025 = 6088964^2 + 16591195^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343234121321 - 2⁴⁶ = 241974489943657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312343234121621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86157131 + ... + 89709183.

It is an arithmetic number, because the mean of its divisors is an integer number (21259602638505).

Almost surely, 2^{312343234121321} is an apocalyptic number.

It is an amenable number.

312343234121321 is a deficient number, since it is larger than the sum of its proper divisors (27810408094759).

312343234121321 is a wasteful number, since it uses less digits than its factorization.

312343234121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628156.

The product of its digits is 62208, while the sum is 35.

Adding to 312343234121321 its reverse (123121432343213), we get a palindrome (435464666464534).

The spelling of 312343234121321 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-four million, one hundred twenty-one thousand, three hundred twenty-one".