314021424120413 has 16 divisors (see below), whose sum is σ = 332048125870080. Its totient is φ = 296527351705200.

The previous prime is 314021424120403. The next prime is 314021424120419.

314021424120413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314021424120413 - 2¹⁴ = 314021424104029 is a prime.

It is a super-2 number, since 2×314021424120413² (a number of 30 digits) contains 22 as substring.

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 314021424120413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314021424120419) 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, 325085753 + ... + 326050286.

It is an arithmetic number, because the mean of its divisors is an integer number (20753007866880).

Almost surely, 2^{314021424120413} is an apocalyptic number.

It is an amenable number.

314021424120413 is a deficient number, since it is larger than the sum of its proper divisors (18026701749667).

314021424120413 is a wasteful number, since it uses less digits than its factorization.

314021424120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651136448.

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

The spelling of 314021424120413 in words is "three hundred fourteen trillion, twenty-one billion, four hundred twenty-four million, one hundred twenty thousand, four hundred thirteen".