1031113109 has 18 divisors (see below), whose sum is σ = 1178458146. Its totient is φ = 901648800.

The previous prime is 1031113081. The next prime is 1031113133. The reversal of 1031113109 is 9013111301.

It can be written as a sum of positive squares in 3 ways, for example, as 146942884 + 884170225 = 12122^2 + 29735^2 .

It is not a de Polignac number, because 1031113109 - 2²⁴ = 1014335893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031113409) 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 17 ways as a sum of consecutive naturals, for example, 52559 + ... + 69459.

It is an arithmetic number, because the mean of its divisors is an integer number (65469897).

Almost surely, 2^1031113109 is an apocalyptic number.

1031113109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1031113109 is a deficient number, since it is larger than the sum of its proper divisors (147345037).

1031113109 is a wasteful number, since it uses less digits than its factorization.

1031113109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16965 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 1031113109 is about 32110.9499859472. The cubic root of 1031113109 is about 1010.2652993885.

The spelling of 1031113109 in words is "one billion, thirty-one million, one hundred thirteen thousand, one hundred nine".