1011131105 has 8 divisors (see below), whose sum is σ = 1213558632. Its totient is φ = 808770688.

The previous prime is 1011131087. The next prime is 1011131137. The reversal of 1011131105 is 5011311101.

It can be written as a sum of positive squares in 4 ways, for example, as 100781521 + 910349584 = 10039^2 + 30172^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011131105 - 2²⁶ = 944022241 is a prime.

It is a super-2 number, since 2×1011131105² = 2044772222997042050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011131105.

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 7 ways as a sum of consecutive naturals, for example, 26549 + ... + 52221.

It is an arithmetic number, because the mean of its divisors is an integer number (151694829).

Almost surely, 2^1011131105 is an apocalyptic number.

It is an amenable number.

1011131105 is a deficient number, since it is larger than the sum of its proper divisors (202427527).

1011131105 is an equidigital number, since it uses as much as digits as its factorization.

1011131105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33555.

The product of its (nonzero) digits is 15, while the sum is 14.

The square root of 1011131105 is about 31798.2877683689. The cubic root of 1011131105 is about 1003.6966860069.

Adding to 1011131105 its reverse (5011311101), we get a palindrome (6022442206).

The spelling of 1011131105 in words is "one billion, eleven million, one hundred thirty-one thousand, one hundred five".