13021000319 has 12 divisors (see below), whose sum is σ = 13588540680. Its totient is φ = 12475925280.

The previous prime is 13021000309. The next prime is 13021000351. The reversal of 13021000319 is 91300012031.

13021000319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13021000319 - 2²⁴ = 13004223103 is a prime.

It is a super-2 number, since 2×13021000319² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13021000319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021000309) 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 11 ways as a sum of consecutive naturals, for example, 51077 + ... + 169265.

It is an arithmetic number, because the mean of its divisors is an integer number (1132378390).

Almost surely, 2^13021000319 is an apocalyptic number.

13021000319 is a deficient number, since it is larger than the sum of its proper divisors (567540361).

13021000319 is a wasteful number, since it uses less digits than its factorization.

13021000319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118378 (or 118349 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 13021000319 in words is "thirteen billion, twenty-one million, three hundred nineteen", and thus it is an aban number.