13578003783311 has 16 divisors (see below), whose sum is σ = 15592199276160. Its totient is φ = 11693799643680.

The previous prime is 13578003783287. The next prime is 13578003783343. The reversal of 13578003783311 is 11338730087531.

13578003783311 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 13578003783311 - 2²⁶ = 13577936674447 is a prime.

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 13578003783311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578003783361) 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, 14645705 + ... + 15545181.

It is an arithmetic number, because the mean of its divisors is an integer number (974512454760).

Almost surely, 2^{13578003783311} is an apocalyptic number.

13578003783311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13578003783311 is a deficient number, since it is larger than the sum of its proper divisors (2014195492849).

13578003783311 is a wasteful number, since it uses less digits than its factorization.

13578003783311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971734.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 13578003783311 in words is "thirteen trillion, five hundred seventy-eight billion, three million, seven hundred eighty-three thousand, three hundred eleven".