1013386159305 has 128 divisors (see below), whose sum is σ = 1960828531200. Its totient is φ = 493607043072.

The previous prime is 1013386159271. The next prime is 1013386159391. The reversal of 1013386159305 is 5039516833101.

1013386159305 is a `hidden beast` number, since 1 + 0 + 1 + 338 + 6 + 1 + 5 + 9 + 305 = 666.

It is not a de Polignac number, because 1013386159305 - 2⁶ = 1013386159241 is a prime.

It is a super-3 number, since 3×1013386159305³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73806681 + ... + 73820409.

It is an arithmetic number, because the mean of its divisors is an integer number (15318972900).

Almost surely, 2^{1013386159305} is an apocalyptic number.

1013386159305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013386159305 is a deficient number, since it is larger than the sum of its proper divisors (947442371895).

1013386159305 is a wasteful number, since it uses less digits than its factorization.

1013386159305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1013386159305 in words is "one trillion, thirteen billion, three hundred eighty-six million, one hundred fifty-nine thousand, three hundred five".