13144311405135 has 24 divisors (see below), whose sum is σ = 22785203950704. Its totient is φ = 7009766847360.

The previous prime is 13144311405103. The next prime is 13144311405149. The reversal of 13144311405135 is 53150411344131.

It is a happy number.

13144311405135 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 431 + 140 + 51 + 35 = 666.

13144311405135 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 13144311405135 - 2⁵ = 13144311405103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13144311405135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10495902 + ... + 11681291.

It is an arithmetic number, because the mean of its divisors is an integer number (949383497946).

Almost surely, 2^{13144311405135} is an apocalyptic number.

13144311405135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13144311405135 is a deficient number, since it is larger than the sum of its proper divisors (9640892545569).

13144311405135 is a wasteful number, since it uses less digits than its factorization.

13144311405135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190375 (or 22190372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13144311405135 its reverse (53150411344131), we get a palindrome (66294722749266).

The spelling of 13144311405135 in words is "thirteen trillion, one hundred forty-four billion, three hundred eleven million, four hundred five thousand, one hundred thirty-five".