314321242123413 has 96 divisors (see below), whose sum is σ = 568362569299200. Its totient is φ = 163212971378688.

The previous prime is 314321242123403. The next prime is 314321242123429.

314321242123413 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 1 + 24 + 212 + 3 + 413 = 666.

314321242123413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314321242123413 - 2⁵ = 314321242123381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314321242123403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309917595 + ... + 1310157527.

It is an arithmetic number, because the mean of its divisors is an integer number (5920443430200).

Almost surely, 2^{314321242123413} is an apocalyptic number.

It is an amenable number.

314321242123413 is a deficient number, since it is larger than the sum of its proper divisors (254041327175787).

314321242123413 is a wasteful number, since it uses less digits than its factorization.

314321242123413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282171 (or 282168 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 314321242123413 in words is "three hundred fourteen trillion, three hundred twenty-one billion, two hundred forty-two million, one hundred twenty-three thousand, four hundred thirteen".