10004340013041 has 128 divisors (see below), whose sum is σ = 15538463539200. Its totient is φ = 5667882752000.

The previous prime is 10004340013037. The next prime is 10004340013043. The reversal of 10004340013041 is 14031004340001.

10004340013041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10004340013041 - 2² = 10004340013037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10004340012999 and 10004340013017.

It is not an unprimeable number, because it can be changed into a prime (10004340013043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6952285600 + ... + 6952287038.

It is an arithmetic number, because the mean of its divisors is an integer number (121394246400).

Almost surely, 2^{10004340013041} is an apocalyptic number.

10004340013041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10004340013041 is a deficient number, since it is larger than the sum of its proper divisors (5534123526159).

10004340013041 is a wasteful number, since it uses less digits than its factorization.

10004340013041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10004340013041 its reverse (14031004340001), we get a palindrome (24035344353042).

The spelling of 10004340013041 in words is "ten trillion, four billion, three hundred forty million, thirteen thousand, forty-one".