314034023041201 has 8 divisors (see below), whose sum is σ = 319235661043200. Its totient is φ = 308854013472480.

The previous prime is 314034023041187. The next prime is 314034023041231. The reversal of 314034023041201 is 102140320430413.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314034023041201 - 2²⁵ = 314033989486769 is a prime.

It is a super-3 number, since 3×314034023041201³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314034023041201.

It is not an unprimeable number, because it can be changed into a prime (314034023041231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5407079041 + ... + 5407137118.

It is an arithmetic number, because the mean of its divisors is an integer number (39904457630400).

Almost surely, 2^{314034023041201} is an apocalyptic number.

It is an amenable number.

314034023041201 is a deficient number, since it is larger than the sum of its proper divisors (5201638001999).

314034023041201 is a wasteful number, since it uses less digits than its factorization.

314034023041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814216639.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314034023041201 its reverse (102140320430413), we get a palindrome (416174343471614).

The spelling of 314034023041201 in words is "three hundred fourteen trillion, thirty-four billion, twenty-three million, forty-one thousand, two hundred one".