314222121222413 has 64 divisors (see below), whose sum is σ = 340222951219200. Its totient is φ = 289322953920000.

The previous prime is 314222121222403. The next prime is 314222121222473.

It is a happy number.

314222121222413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314222121222413 - 2³⁸ = 313947243315469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314222121222413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314222121222403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34003038473 + ... + 34003047713.

It is an arithmetic number, because the mean of its divisors is an integer number (5315983612800).

Almost surely, 2^{314222121222413} is an apocalyptic number.

It is an amenable number.

314222121222413 is a deficient number, since it is larger than the sum of its proper divisors (26000829996787).

314222121222413 is a wasteful number, since it uses less digits than its factorization.

314222121222413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714.

The product of its digits is 18432, while the sum is 32.

The spelling of 314222121222413 in words is "three hundred fourteen trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred thirteen".