114241201312321 has 8 divisors (see below), whose sum is σ = 114395874215400. Its totient is φ = 114086546197632.

The previous prime is 114241201312297. The next prime is 114241201312373. The reversal of 114241201312321 is 123213102142411.

It can be written as a sum of positive squares in 4 ways, for example, as 896220062721 + 113344981249600 = 946689^2 + 10646360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114241201312321 - 2¹⁷ = 114241201181249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114241201312321.

It is not an unprimeable number, because it can be changed into a prime (114241201342321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8431291 + ... + 17308063.

It is an arithmetic number, because the mean of its divisors is an integer number (14299484276925).

Almost surely, 2^{114241201312321} is an apocalyptic number.

It is an amenable number.

114241201312321 is a deficient number, since it is larger than the sum of its proper divisors (154672903079).

114241201312321 is an equidigital number, since it uses as much as digits as its factorization.

114241201312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894195.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 114241201312321 its reverse (123213102142411), we get a palindrome (237454303454732).

The spelling of 114241201312321 in words is "one hundred fourteen trillion, two hundred forty-one billion, two hundred one million, three hundred twelve thousand, three hundred twenty-one".