10000113343001 has 16 divisors (see below), whose sum is σ = 10629747780624. Its totient is φ = 9375098333184.

The previous prime is 10000113342977. The next prime is 10000113343067. The reversal of 10000113343001 is 10034331100001.

It can be written as a sum of positive squares in 8 ways, for example, as 3052271055625 + 6947842287376 = 1747075^2 + 2635876^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000113343001 - 2¹⁸ = 10000113080857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000113363001) 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, 15568661 + ... + 16198253.

It is an arithmetic number, because the mean of its divisors is an integer number (664359236289).

Almost surely, 2^{10000113343001} is an apocalyptic number.

It is an amenable number.

10000113343001 is a deficient number, since it is larger than the sum of its proper divisors (629634437623).

10000113343001 is a wasteful number, since it uses less digits than its factorization.

10000113343001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633260.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10000113343001 its reverse (10034331100001), we get a palindrome (20034444443002).

The spelling of 10000113343001 in words is "ten trillion, one hundred thirteen million, three hundred forty-three thousand, one".