13385905181 has 16 divisors (see below), whose sum is σ = 14778288000. Its totient is φ = 12022982400.

The previous prime is 13385905153. The next prime is 13385905187. The reversal of 13385905181 is 18150958331.

It is a happy number.

It is not a de Polignac number, because 13385905181 - 2²² = 13381710877 is a prime.

It is a super-2 number, since 2×13385905181² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385905187) 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 15 ways as a sum of consecutive naturals, for example, 1474745 + ... + 1483793.

It is an arithmetic number, because the mean of its divisors is an integer number (923643000).

Almost surely, 2^13385905181 is an apocalyptic number.

13385905181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13385905181 is a deficient number, since it is larger than the sum of its proper divisors (1392382819).

13385905181 is a wasteful number, since it uses less digits than its factorization.

13385905181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660.

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 13385905181 in words is "thirteen billion, three hundred eighty-five million, nine hundred five thousand, one hundred eighty-one".