10829914313 has 8 divisors (see below), whose sum is σ = 10848340800. Its totient is φ = 10811503600.

The previous prime is 10829914289. The next prime is 10829914321. The reversal of 10829914313 is 31341992801.

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

It is a cyclic number.

It is not a de Polignac number, because 10829914313 - 2²⁰ = 10828865737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10829914013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2924363 + ... + 2928063.

It is an arithmetic number, because the mean of its divisors is an integer number (1356042600).

Almost surely, 2^10829914313 is an apocalyptic number.

It is an amenable number.

10829914313 is a deficient number, since it is larger than the sum of its proper divisors (18426487).

10829914313 is an equidigital number, since it uses as much as digits as its factorization.

10829914313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887.

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 10829914313 in words is "ten billion, eight hundred twenty-nine million, nine hundred fourteen thousand, three hundred thirteen".