135105340223113 has 24 divisors (see below), whose sum is σ = 149418470456640. Its totient is φ = 122079691131840.

The previous prime is 135105340223027. The next prime is 135105340223141. The reversal of 135105340223113 is 311322043501531.

It is a de Polignac number, because none of the positive numbers 2^k-135105340223113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135105340223213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42653653 + ... + 45711538.

It is an arithmetic number, because the mean of its divisors is an integer number (6225769602360).

Almost surely, 2^{135105340223113} is an apocalyptic number.

135105340223113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135105340223113 is a deficient number, since it is larger than the sum of its proper divisors (14313130233527).

135105340223113 is a wasteful number, since it uses less digits than its factorization.

135105340223113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88365409 (or 88365396 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 135105340223113 its reverse (311322043501531), we get a palindrome (446427383724644).

The spelling of 135105340223113 in words is "one hundred thirty-five trillion, one hundred five billion, three hundred forty million, two hundred twenty-three thousand, one hundred thirteen".