34033031201 has 16 divisors (see below), whose sum is σ = 37081936080. Its totient is φ = 31046062080.

The previous prime is 34033031167. The next prime is 34033031203. The reversal of 34033031201 is 10213033043.

It can be written as a sum of positive squares in 8 ways, for example, as 160801 + 34032870400 = 401^2 + 184480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34033031201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34033031203) 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 15 ways as a sum of consecutive naturals, for example, 2623391 + ... + 2636331.

It is an arithmetic number, because the mean of its divisors is an integer number (2317621005).

Almost surely, 2^34033031201 is an apocalyptic number.

It is an amenable number.

34033031201 is a deficient number, since it is larger than the sum of its proper divisors (3048904879).

34033031201 is a wasteful number, since it uses less digits than its factorization.

34033031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 34033031201 its reverse (10213033043), we get a palindrome (44246064244).

The spelling of 34033031201 in words is "thirty-four billion, thirty-three million, thirty-one thousand, two hundred one".