1101281706585 has 128 divisors (see below), whose sum is σ = 1987528458240. Its totient is φ = 578534400000.

The previous prime is 1101281706563. The next prime is 1101281706601. The reversal of 1101281706585 is 5856071821011.

It is not a de Polignac number, because 1101281706585 - 2⁹ = 1101281706073 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1101281706585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1718067865 + ... + 1718068505.

It is an arithmetic number, because the mean of its divisors is an integer number (15527566080).

Almost surely, 2^{1101281706585} is an apocalyptic number.

1101281706585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1101281706585 is a deficient number, since it is larger than the sum of its proper divisors (886246751655).

1101281706585 is a wasteful number, since it uses less digits than its factorization.

1101281706585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 1101281706585 in words is "one trillion, one hundred one billion, two hundred eighty-one million, seven hundred six thousand, five hundred eighty-five".