34314341312201 has 8 divisors (see below), whose sum is σ = 34962716028744. Its totient is φ = 33666001200000.

The previous prime is 34314341312179. The next prime is 34314341312239. The reversal of 34314341312201 is 10221314341343.

It can be written as a sum of positive squares in 4 ways, for example, as 3663989364025 + 30650351948176 = 1914155^2 + 5536276^2 .

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 34314341312201 - 2⁶ = 34314341312137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34314341312501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6644756 + ... + 10619861.

It is an arithmetic number, because the mean of its divisors is an integer number (4370339503593).

Almost surely, 2^{34314341312201} is an apocalyptic number.

It is an amenable number.

34314341312201 is a deficient number, since it is larger than the sum of its proper divisors (648374716543).

34314341312201 is a wasteful number, since it uses less digits than its factorization.

34314341312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302171.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 34314341312201 its reverse (10221314341343), we get a palindrome (44535655653544).

The spelling of 34314341312201 in words is "thirty-four trillion, three hundred fourteen billion, three hundred forty-one million, three hundred twelve thousand, two hundred one".