13120012319985 has 12 divisors (see below), whose sum is σ = 22741354688052. Its totient is φ = 6997339903968.

The previous prime is 13120012319977. The next prime is 13120012320061. The reversal of 13120012319985 is 58991321002131.

13120012319985 is a `hidden beast` number, since 1 + 31 + 200 + 12 + 319 + 98 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3604070636721 + 9515941683264 = 1898439^2 + 3084792^2 .

It is not a de Polignac number, because 13120012319985 - 2³ = 13120012319977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 291555829333 = 13120012319985 / (1 + 3 + 1 + 2 + 0 + 0 + 1 + 2 + 3 + 1 + 9 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13120012319985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145777914622 + ... + 145777914711.

It is an arithmetic number, because the mean of its divisors is an integer number (1895112890671).

Almost surely, 2^{13120012319985} is an apocalyptic number.

13120012319985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13120012319985 is a deficient number, since it is larger than the sum of its proper divisors (9621342368067).

13120012319985 is a wasteful number, since it uses less digits than its factorization.

13120012319985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291555829344 (or 291555829341 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 13120012319985 in words is "thirteen trillion, one hundred twenty billion, twelve million, three hundred nineteen thousand, nine hundred eighty-five".