1005113285343 has 12 divisors (see below), whose sum is σ = 1455278834568. Its totient is φ = 668483892720.

The previous prime is 1005113285269. The next prime is 1005113285357. The reversal of 1005113285343 is 3435823115001.

1005113285343 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 113 + 2 + 8 + 534 + 3 = 666.

It is not a de Polignac number, because 1005113285343 - 2⁹ = 1005113284831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005113285298 and 1005113285307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005113285243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132631905 + ... + 132639482.

It is an arithmetic number, because the mean of its divisors is an integer number (121273236214).

Almost surely, 2^{1005113285343} is an apocalyptic number.

1005113285343 is a deficient number, since it is larger than the sum of its proper divisors (450165549225).

1005113285343 is a wasteful number, since it uses less digits than its factorization.

1005113285343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265271814 (or 265271811 counting only the distinct ones).

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

The spelling of 1005113285343 in words is "one trillion, five billion, one hundred thirteen million, two hundred eighty-five thousand, three hundred forty-three".