314242303242413 has 48 divisors (see below), whose sum is σ = 396832517539200. Its totient is φ = 248624204564736.

The previous prime is 314242303242397. The next prime is 314242303242463.

314242303242413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314242303242413 - 2⁴ = 314242303242397 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 (314242303242463) 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, 3148891445 + ... + 3148991237.

It is an arithmetic number, because the mean of its divisors is an integer number (8267344115400).

Almost surely, 2^{314242303242413} is an apocalyptic number.

It is an amenable number.

314242303242413 is a deficient number, since it is larger than the sum of its proper divisors (82590214296787).

314242303242413 is an equidigital number, since it uses as much as digits as its factorization.

314242303242413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154163 (or 154136 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 31424230 and 3242413, that added together give a palindrome (34666643).

The spelling of 314242303242413 in words is "three hundred fourteen trillion, two hundred forty-two billion, three hundred three million, two hundred forty-two thousand, four hundred thirteen".