10344004313303 has 64 divisors (see below), whose sum is σ = 11501893728000. Its totient is φ = 9258685169664.

The previous prime is 10344004313257. The next prime is 10344004313317. The reversal of 10344004313303 is 30331340044301.

It is not a de Polignac number, because 10344004313303 - 2²² = 10344000118999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344004313353) 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 63 ways as a sum of consecutive naturals, for example, 6635024438 + ... + 6635025996.

It is an arithmetic number, because the mean of its divisors is an integer number (179717089500).

Almost surely, 2^{10344004313303} is an apocalyptic number.

10344004313303 is a deficient number, since it is larger than the sum of its proper divisors (1157889414697).

10344004313303 is a wasteful number, since it uses less digits than its factorization.

10344004313303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 10344004313303 its reverse (30331340044301), we get a palindrome (40675344357604).

The spelling of 10344004313303 in words is "ten trillion, three hundred forty-four billion, four million, three hundred thirteen thousand, three hundred three".