3414113151201 has 12 divisors (see below), whose sum is σ = 4932148067028. Its totient is φ = 2275774837344.

The previous prime is 3414113151199. The next prime is 3414113151203. The reversal of 3414113151201 is 1021513114143.

3414113151201 is a `hidden beast` number, since 3 + 4 + 14 + 1 + 131 + 512 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3414113151199) and next prime (3414113151203).

It can be written as a sum of positive squares in 2 ways, for example, as 3264529853601 + 149583297600 = 1806801^2 + 386760^2 .

It is not a de Polignac number, because 3414113151201 - 2¹ = 3414113151199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3414113151203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24977790 + ... + 25114103.

It is an arithmetic number, because the mean of its divisors is an integer number (411012338919).

Almost surely, 2^{3414113151201} is an apocalyptic number.

It is an amenable number.

3414113151201 is a deficient number, since it is larger than the sum of its proper divisors (1518034915827).

3414113151201 is a wasteful number, since it uses less digits than its factorization.

3414113151201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50099472 (or 50099469 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 3414113151201 its reverse (1021513114143), we get a palindrome (4435626265344).

The spelling of 3414113151201 in words is "three trillion, four hundred fourteen billion, one hundred thirteen million, one hundred fifty-one thousand, two hundred one".