34133124201 has 16 divisors (see below), whose sum is σ = 49661925120. Its totient is φ = 20681015120.

The previous prime is 34133124167. The next prime is 34133124247. The reversal of 34133124201 is 10242133143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34133124201 - 2¹⁰ = 34133123177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34133124001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20595 + ... + 262088.

It is an arithmetic number, because the mean of its divisors is an integer number (3103870320).

Almost surely, 2^34133124201 is an apocalyptic number.

It is an amenable number.

34133124201 is a deficient number, since it is larger than the sum of its proper divisors (15528800919).

34133124201 is a wasteful number, since it uses less digits than its factorization.

34133124201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286356.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34133124201 its reverse (10242133143), we get a palindrome (44375257344).

The spelling of 34133124201 in words is "thirty-four billion, one hundred thirty-three million, one hundred twenty-four thousand, two hundred one".