13387777778331 has 48 divisors (see below), whose sum is σ = 21992013388800. Its totient is φ = 7774325640000.

The previous prime is 13387777778237. The next prime is 13387777778369.

13387777778331 is a `hidden beast` number, since 1 + 3 + 387 + 7 + 77 + 77 + 83 + 31 = 666.

13387777778331 is nontrivially palindromic in base 10.

13387777778331 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 13387777778331 - 2²³ = 13387769389723 is a prime.

It is a super-2 number, since 2×13387777778331² (a number of 27 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 13387777778331.

It is not an unprimeable number, because it can be changed into a prime (13387777778231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21285381 + ... + 21905318.

It is an arithmetic number, because the mean of its divisors is an integer number (458166945600).

Almost surely, 2^{13387777778331} is an apocalyptic number.

13387777778331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13387777778331 is a deficient number, since it is larger than the sum of its proper divisors (8604235610469).

13387777778331 is a wasteful number, since it uses less digits than its factorization.

13387777778331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43190848 (or 43190845 counting only the distinct ones).

The product of its digits is 609892416, while the sum is 72.

The spelling of 13387777778331 in words is "thirteen trillion, three hundred eighty-seven billion, seven hundred seventy-seven million, seven hundred seventy-eight thousand, three hundred thirty-one".