13820138819 has 16 divisors (see below), whose sum is σ = 14553151200. Its totient is φ = 13104666624.

The previous prime is 13820138809. The next prime is 13820138821. The reversal of 13820138819 is 91883102831.

It is not a de Polignac number, because 13820138819 - 2¹⁶ = 13820073283 is a prime.

It is a super-2 number, since 2×13820138819² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13820138819.

It is not an unprimeable number, because it can be changed into a prime (13820138809) 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, 2078969 + ... + 2085605.

It is an arithmetic number, because the mean of its divisors is an integer number (909571950).

Almost surely, 2^13820138819 is an apocalyptic number.

13820138819 is a deficient number, since it is larger than the sum of its proper divisors (733012381).

13820138819 is a wasteful number, since it uses less digits than its factorization.

13820138819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942.

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 13820138819 in words is "thirteen billion, eight hundred twenty million, one hundred thirty-eight thousand, eight hundred nineteen".