34013122241 has 16 divisors (see below), whose sum is σ = 39052715520. Its totient is φ = 29018787840.

The previous prime is 34013122211. The next prime is 34013122277. The reversal of 34013122241 is 14222131043.

It is not a de Polignac number, because 34013122241 - 2¹⁴ = 34013105857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34013122211) 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, 5780621 + ... + 5786501.

It is an arithmetic number, because the mean of its divisors is an integer number (2440794720).

Almost surely, 2^34013122241 is an apocalyptic number.

It is an amenable number.

34013122241 is a deficient number, since it is larger than the sum of its proper divisors (5039593279).

34013122241 is a wasteful number, since it uses less digits than its factorization.

34013122241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34013122241 its reverse (14222131043), we get a palindrome (48235253284).

The spelling of 34013122241 in words is "thirty-four billion, thirteen million, one hundred twenty-two thousand, two hundred forty-one".