314301161103413 has 48 divisors (see below), whose sum is σ = 355996726396080. Its totient is φ = 277190507151360.

The previous prime is 314301161103361. The next prime is 314301161103443.

314301161103413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 314881466449 + 313986279636964 = 561143^2 + 17719658^2 .

It is a de Polignac number, because none of the positive numbers 2^k-314301161103413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314301161103413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314301161103443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130711781 + ... + 133094597.

It is an arithmetic number, because the mean of its divisors is an integer number (7416598466585).

Almost surely, 2^{314301161103413} is an apocalyptic number.

It is an amenable number.

314301161103413 is a deficient number, since it is larger than the sum of its proper divisors (41695565292667).

314301161103413 is a wasteful number, since it uses less digits than its factorization.

314301161103413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383158 (or 2383147 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 314301161103413 in words is "three hundred fourteen trillion, three hundred one billion, one hundred sixty-one million, one hundred three thousand, four hundred thirteen".