314001320332401 has 24 divisors (see below), whose sum is σ = 488456187162216. Its totient is φ = 193227748784640.

The previous prime is 314001320332379. The next prime is 314001320332421. The reversal of 314001320332401 is 104233023100413.

It is a happy number.

314001320332401 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 1 + 320 + 332 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7900962048225 + 306100358284176 = 2810865^2 + 17495724^2 .

It is not a de Polignac number, because 314001320332401 - 2⁹ = 314001320331889 is a prime.

It is a super-2 number, since 2×314001320332401² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314001320332421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20688600 + ... + 32496473.

It is an arithmetic number, because the mean of its divisors is an integer number (20352341131759).

Almost surely, 2^{314001320332401} is an apocalyptic number.

It is an amenable number.

314001320332401 is a deficient number, since it is larger than the sum of its proper divisors (174454866829815).

314001320332401 is a wasteful number, since it uses less digits than its factorization.

314001320332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53235553 (or 53235550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314001320332401 its reverse (104233023100413), we get a palindrome (418234343432814).

The spelling of 314001320332401 in words is "three hundred fourteen trillion, one billion, three hundred twenty million, three hundred thirty-two thousand, four hundred one".