10004340001321 has 16 divisors (see below), whose sum is σ = 10599351883776. Its totient is φ = 9410054004736.

The previous prime is 10004340001307. The next prime is 10004340001363. The reversal of 10004340001321 is 12310004340001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004340001321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004340001301) 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, 349702200 + ... + 349730806.

It is an arithmetic number, because the mean of its divisors is an integer number (662459492736).

Almost surely, 2^{10004340001321} is an apocalyptic number.

It is an amenable number.

10004340001321 is a deficient number, since it is larger than the sum of its proper divisors (595011882455).

10004340001321 is a wasteful number, since it uses less digits than its factorization.

10004340001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40568.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10004340001321 its reverse (12310004340001), we get a palindrome (22314344341322).

The spelling of 10004340001321 in words is "ten trillion, four billion, three hundred forty million, one thousand, three hundred twenty-one".