10005532342313 has 16 divisors (see below), whose sum is σ = 10311036402240. Its totient is φ = 9705907835136.

The previous prime is 10005532342301. The next prime is 10005532342361. The reversal of 10005532342313 is 31324323550001.

It is a cyclic number.

It is not a de Polignac number, because 10005532342313 - 2⁶ = 10005532342249 is a prime.

It is a super-2 number, since 2×10005532342313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005532342313.

It is not an unprimeable number, because it can be changed into a prime (10005532342913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522020 + ... + 5693477.

It is an arithmetic number, because the mean of its divisors is an integer number (644439775140).

Almost surely, 2^{10005532342313} is an apocalyptic number.

It is an amenable number.

10005532342313 is a deficient number, since it is larger than the sum of its proper divisors (305504059927).

10005532342313 is a wasteful number, since it uses less digits than its factorization.

10005532342313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215816.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 10005532342313 its reverse (31324323550001), we get a palindrome (41329855892314).

The spelling of 10005532342313 in words is "ten trillion, five billion, five hundred thirty-two million, three hundred forty-two thousand, three hundred thirteen".