34113124141201 has 16 divisors (see below), whose sum is σ = 42822620697600. Its totient is φ = 26496496551888.

The previous prime is 34113124141189. The next prime is 34113124141231. The reversal of 34113124141201 is 10214142131143.

It is a cyclic number.

It is not a de Polignac number, because 34113124141201 - 2⁷ = 34113124141073 is a prime.

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 34113124141201.

It is not an unprimeable number, because it can be changed into a prime (34113124141231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575859011 + ... + 5575865128.

It is an arithmetic number, because the mean of its divisors is an integer number (2676413793600).

Almost surely, 2^{34113124141201} is an apocalyptic number.

It is an amenable number.

34113124141201 is a deficient number, since it is larger than the sum of its proper divisors (8709496556399).

34113124141201 is a wasteful number, since it uses less digits than its factorization.

34113124141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151724188.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 34113124141201 its reverse (10214142131143), we get a palindrome (44327266272344).

The spelling of 34113124141201 in words is "thirty-four trillion, one hundred thirteen billion, one hundred twenty-four million, one hundred forty-one thousand, two hundred one".