314221303122413 has 16 divisors (see below), whose sum is σ = 331149720569472. Its totient is φ = 297565468200000.

The previous prime is 314221303122407. The next prime is 314221303122481.

314221303122413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314221303122413 - 2⁸ = 314221303122157 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 314221303122413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314221303122403) 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, 33924338 + ... + 42181788.

It is an arithmetic number, because the mean of its divisors is an integer number (20696857535592).

Almost surely, 2^{314221303122413} is an apocalyptic number.

It is an amenable number.

314221303122413 is a deficient number, since it is larger than the sum of its proper divisors (16928417447059).

314221303122413 is a wasteful number, since it uses less digits than its factorization.

314221303122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273956.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31422130 and 3122413, that added together give a palindrome (34544543).

The spelling of 314221303122413 in words is "three hundred fourteen trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty-two thousand, four hundred thirteen".