10338730319 has 16 divisors (see below), whose sum is σ = 11527718400. Its totient is φ = 9214694784.

The previous prime is 10338730313. The next prime is 10338730373. The reversal of 10338730319 is 91303783301.

It is not a de Polignac number, because 10338730319 - 2⁸ = 10338730063 is a prime.

It is a super-2 number, since 2×10338730319² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338730313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063322 + ... + 1073000.

It is an arithmetic number, because the mean of its divisors is an integer number (720482400).

Almost surely, 2^10338730319 is an apocalyptic number.

10338730319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10338730319 is a deficient number, since it is larger than the sum of its proper divisors (1188988081).

10338730319 is a wasteful number, since it uses less digits than its factorization.

10338730319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022.

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 10338730319 in words is "ten billion, three hundred thirty-eight million, seven hundred thirty thousand, three hundred nineteen".