10134313000434 has 80 divisors (see below), whose sum is σ = 26006602406400. Its totient is φ = 2889472922496.

The previous prime is 10134313000277. The next prime is 10134313000439. The reversal of 10134313000434 is 43400031343101.

10134313000434 is a `hidden beast` number, since 10 + 1 + 343 + 1 + 300 + 0 + 4 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10134313000398 and 10134313000407.

It is not an unprimeable number, because it can be changed into a prime (10134313000439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8785399 + ... + 9871770.

It is an arithmetic number, because the mean of its divisors is an integer number (325082530080).

Almost surely, 2^{10134313000434} is an apocalyptic number.

10134313000434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10134313000434 is an abundant number, since it is smaller than the sum of its proper divisors (15872289405966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10134313000434 is a wasteful number, since it uses less digits than its factorization.

10134313000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18657669 (or 18657660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10134313000434 its reverse (43400031343101), we get a palindrome (53534344343535).

The spelling of 10134313000434 in words is "ten trillion, one hundred thirty-four billion, three hundred thirteen million, four hundred thirty-four", and thus it is an aban number.