34442300013 has 16 divisors (see below), whose sum is σ = 50226696000. Its totient is φ = 20820452480.

The previous prime is 34442299987. The next prime is 34442300029. The reversal of 34442300013 is 31000324443.

It is a cyclic number.

It is not a de Polignac number, because 34442300013 - 2⁵ = 34442299981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442300063) 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, 1328688 + ... + 1354361.

It is an arithmetic number, because the mean of its divisors is an integer number (3139168500).

Almost surely, 2^34442300013 is an apocalyptic number.

34442300013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34442300013 is a deficient number, since it is larger than the sum of its proper divisors (15784395987).

34442300013 is a wasteful number, since it uses less digits than its factorization.

34442300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683452.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34442300013 its reverse (31000324443), we get a palindrome (65442624456).

The spelling of 34442300013 in words is "thirty-four billion, four hundred forty-two million, three hundred thousand, thirteen".