135303362580113 has 32 divisors (see below), whose sum is σ = 167433809055744. Its totient is φ = 106471375359552.

The previous prime is 135303362580107. The next prime is 135303362580173. The reversal of 135303362580113 is 311085263303531.

It is not a de Polignac number, because 135303362580113 - 2¹⁸ = 135303362317969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135303362580173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16588556 + ... + 23362082.

It is an arithmetic number, because the mean of its divisors is an integer number (5232306532992).

Almost surely, 2^{135303362580113} is an apocalyptic number.

135303362580113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135303362580113 is a deficient number, since it is larger than the sum of its proper divisors (32130446475631).

135303362580113 is a wasteful number, since it uses less digits than its factorization.

135303362580113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774741.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 135303362580113 in words is "one hundred thirty-five trillion, three hundred three billion, three hundred sixty-two million, five hundred eighty thousand, one hundred thirteen".