314411403121321 has 16 divisors (see below), whose sum is σ = 343933096510080. Its totient is φ = 285047048782080.

The previous prime is 314411403121303. The next prime is 314411403121349. The reversal of 314411403121321 is 123121304114413.

It is a cyclic number.

It is not a de Polignac number, because 314411403121321 - 2²⁷ = 314411268903593 is a prime.

It is a super-2 number, since 2×314411403121321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314411403121381) 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, 14386101 + ... + 28909906.

It is an arithmetic number, because the mean of its divisors is an integer number (21495818531880).

Almost surely, 2^{314411403121321} is an apocalyptic number.

It is an amenable number.

314411403121321 is a deficient number, since it is larger than the sum of its proper divisors (29521693388759).

314411403121321 is a wasteful number, since it uses less digits than its factorization.

314411403121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43297824.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 314411403121321 its reverse (123121304114413), we get a palindrome (437532707235734).

The spelling of 314411403121321 in words is "three hundred fourteen trillion, four hundred eleven billion, four hundred three million, one hundred twenty-one thousand, three hundred twenty-one".