314303222303413 has 16 divisors (see below), whose sum is σ = 363430691510400. Its totient is φ = 266242366152000.

The previous prime is 314303222303393. The next prime is 314303222303461.

It is a happy number.

314303222303413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314303222303413 - 2¹³ = 314303222295221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314303222307413) 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, 410485363 + ... + 411250336.

It is an arithmetic number, because the mean of its divisors is an integer number (22714418219400).

Almost surely, 2^{314303222303413} is an apocalyptic number.

It is an amenable number.

314303222303413 is a deficient number, since it is larger than the sum of its proper divisors (49127469206987).

314303222303413 is a wasteful number, since it uses less digits than its factorization.

314303222303413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821736348.

The product of its (nonzero) digits is 93312, while the sum is 34.

The spelling of 314303222303413 in words is "three hundred fourteen trillion, three hundred three billion, two hundred twenty-two million, three hundred three thousand, four hundred thirteen".