13038947319 has 32 divisors (see below), whose sum is σ = 18705291264. Its totient is φ = 8059091040.

The previous prime is 13038947309. The next prime is 13038947321. The reversal of 13038947319 is 91374983031.

It is a happy number.

It is not a de Polignac number, because 13038947319 - 2⁴ = 13038947303 is a prime.

It is a super-2 number, since 2×13038947319² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13038947309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371904 + ... + 405450.

It is an arithmetic number, because the mean of its divisors is an integer number (584540352).

Almost surely, 2^13038947319 is an apocalyptic number.

13038947319 is a deficient number, since it is larger than the sum of its proper divisors (5666343945).

13038947319 is a wasteful number, since it uses less digits than its factorization.

13038947319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33747.

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 13038947319 in words is "thirteen billion, thirty-eight million, nine hundred forty-seven thousand, three hundred nineteen".