135106115313 has 16 divisors (see below), whose sum is σ = 194446582400. Its totient is φ = 82950200064.

The previous prime is 135106115281. The next prime is 135106115317. The reversal of 135106115313 is 313511601531.

It is not a de Polignac number, because 135106115313 - 2⁵ = 135106115281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135106115317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983413 + ... + 4017186.

It is an arithmetic number, because the mean of its divisors is an integer number (12152911400).

Almost surely, 2^135106115313 is an apocalyptic number.

135106115313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135106115313 is a deficient number, since it is larger than the sum of its proper divisors (59340467087).

135106115313 is a wasteful number, since it uses less digits than its factorization.

135106115313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001048.

The product of its (nonzero) digits is 4050, while the sum is 30.

Adding to 135106115313 its reverse (313511601531), we get a palindrome (448617716844).

The spelling of 135106115313 in words is "one hundred thirty-five billion, one hundred six million, one hundred fifteen thousand, three hundred thirteen".