10344513402301 has 8 divisors (see below), whose sum is σ = 11140496973144. Its totient is φ = 9548565798720.

The previous prime is 10344513402287. The next prime is 10344513402319. The reversal of 10344513402301 is 10320431544301.

It can be written as a sum of positive squares in 4 ways, for example, as 4419354155076 + 5925159247225 = 2102226^2 + 2434165^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10344513402301 - 2¹⁹ = 10344512878013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344513406301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8392990 + ... + 9546271.

It is an arithmetic number, because the mean of its divisors is an integer number (1392562121643).

Almost surely, 2^{10344513402301} is an apocalyptic number.

It is an amenable number.

10344513402301 is a deficient number, since it is larger than the sum of its proper divisors (795983570843).

10344513402301 is a wasteful number, since it uses less digits than its factorization.

10344513402301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17983631.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10344513402301 its reverse (10320431544301), we get a palindrome (20664944946602).

The spelling of 10344513402301 in words is "ten trillion, three hundred forty-four billion, five hundred thirteen million, four hundred two thousand, three hundred one".