314013242324241 has 20 divisors (see below), whose sum is σ = 473232673959012. Its totient is φ = 207489576043008.

The previous prime is 314013242324227. The next prime is 314013242324263. The reversal of 314013242324241 is 142423242310413.

314013242324241 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 1 + 324 + 2 + 324 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99972801849600 + 214040440474641 = 9998640^2 + 14630121^2 .

It is not a de Polignac number, because 314013242324241 - 2⁵ = 314013242324209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314013242324196 and 314013242324205.

It is not an unprimeable number, because it can be changed into a prime (314013242324281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17153560296 + ... + 17153578601.

Almost surely, 2^{314013242324241} is an apocalyptic number.

It is an amenable number.

314013242324241 is a deficient number, since it is larger than the sum of its proper divisors (159219431634771).

314013242324241 is a wasteful number, since it uses less digits than its factorization.

314013242324241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34307139022 (or 34307139013 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 314013242324241 its reverse (142423242310413), we get a palindrome (456436484634654).

The spelling of 314013242324241 in words is "three hundred fourteen trillion, thirteen billion, two hundred forty-two million, three hundred twenty-four thousand, two hundred forty-one".