1000131011 has 16 divisors (see below), whose sum is σ = 1140749568. Its totient is φ = 867952800.

The previous prime is 1000130983. The next prime is 1000131017. The reversal of 1000131011 is 1101310001.

It is not a de Polignac number, because 1000131011 - 2⁶ = 1000130947 is a prime.

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 1000131011.

It is not an unprimeable number, because it can be changed into a prime (1000131017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133220 + ... + 140526.

It is an arithmetic number, because the mean of its divisors is an integer number (71296848).

Almost surely, 2^1000131011 is an apocalyptic number.

1000131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000131011 is a deficient number, since it is larger than the sum of its proper divisors (140618557).

1000131011 is a wasteful number, since it uses less digits than its factorization.

1000131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1000131011 is about 31624.8479996347. The cubic root of 1000131011 is about 1000.0436684264.

Adding to 1000131011 its reverse (1101310001), we get a palindrome (2101441012).

The spelling of 1000131011 in words is "one billion, one hundred thirty-one thousand, eleven".