10003111314 has 16 divisors (see below), whose sum is σ = 22864254528. Its totient is φ = 2858031792.

The previous prime is 10003111249. The next prime is 10003111319. The reversal of 10003111314 is 41311130001.

10003111314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10003111293 and 10003111302.

It is not an unprimeable number, because it can be changed into a prime (10003111319) 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 7 ways as a sum of consecutive naturals, for example, 119084617 + ... + 119084700.

It is an arithmetic number, because the mean of its divisors is an integer number (1429015908).

Almost surely, 2^10003111314 is an apocalyptic number.

10003111314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10003111314 is an abundant number, since it is smaller than the sum of its proper divisors (12861143214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003111314 is a wasteful number, since it uses less digits than its factorization.

10003111314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238169329.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10003111314 its reverse (41311130001), we get a palindrome (51314241315).

The spelling of 10003111314 in words is "ten billion, three million, one hundred eleven thousand, three hundred fourteen".