34130011201 has 48 divisors (see below), whose sum is σ = 42551101440. Its totient is φ = 27061594560.

The previous prime is 34130011187. The next prime is 34130011217. The reversal of 34130011201 is 10211003143.

It is not a de Polignac number, because 34130011201 - 2¹¹ = 34130009153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34130011501) 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 47 ways as a sum of consecutive naturals, for example, 16352580 + ... + 16354666.

It is an arithmetic number, because the mean of its divisors is an integer number (886481280).

Almost surely, 2^34130011201 is an apocalyptic number.

It is an amenable number.

34130011201 is a deficient number, since it is larger than the sum of its proper divisors (8421090239).

34130011201 is a wasteful number, since it uses less digits than its factorization.

34130011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 34130011201 its reverse (10211003143), we get a palindrome (44341014344).

The spelling of 34130011201 in words is "thirty-four billion, one hundred thirty million, eleven thousand, two hundred one".