10434234134113 has 16 divisors (see below), whose sum is σ = 10765744194880. Its totient is φ = 10105351857216.

The previous prime is 10434234134089. The next prime is 10434234134123. The reversal of 10434234134113 is 31143143243401.

It is a cyclic number.

It is not a de Polignac number, because 10434234134113 - 2¹³ = 10434234125921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10434234134123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33967870 + ... + 34273672.

It is an arithmetic number, because the mean of its divisors is an integer number (672859012180).

Almost surely, 2^{10434234134113} is an apocalyptic number.

It is an amenable number.

10434234134113 is a deficient number, since it is larger than the sum of its proper divisors (331510060767).

10434234134113 is a wasteful number, since it uses less digits than its factorization.

10434234134113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310096.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 10434234134113 its reverse (31143143243401), we get a palindrome (41577377377514).

The spelling of 10434234134113 in words is "ten trillion, four hundred thirty-four billion, two hundred thirty-four million, one hundred thirty-four thousand, one hundred thirteen".