34133432201 has 24 divisors (see below), whose sum is σ = 39757110120. Its totient is φ = 29181870080.

The previous prime is 34133432183. The next prime is 34133432237. The reversal of 34133432201 is 10223433143.

It can be written as a sum of positive squares in 4 ways, for example, as 3122574400 + 31010857801 = 55880^2 + 176099^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34133432201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34133432251) 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 23 ways as a sum of consecutive naturals, for example, 2892425 + ... + 2904201.

It is an arithmetic number, because the mean of its divisors is an integer number (1656546255).

Almost surely, 2^34133432201 is an apocalyptic number.

It is an amenable number.

34133432201 is a deficient number, since it is larger than the sum of its proper divisors (5623677919).

34133432201 is a wasteful number, since it uses less digits than its factorization.

34133432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34133432201 its reverse (10223433143), we get a palindrome (44356865344).

The spelling of 34133432201 in words is "thirty-four billion, one hundred thirty-three million, four hundred thirty-two thousand, two hundred one".