1130113000 has 128 divisors (see below), whose sum is σ = 2724153120. Its totient is φ = 438681600.

The previous prime is 1130112983. The next prime is 1130113001. The reversal of 1130113000 is 3110311.

It can be written as a sum of positive squares in 16 ways, for example, as 223741764 + 906371236 = 14958^2 + 30106^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1130113001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8248932 + ... + 8249068.

Almost surely, 2^1130113000 is an apocalyptic number.

1130113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362076560).

1130113000 is an abundant number, since it is smaller than the sum of its proper divisors (1594040120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130113000 is a wasteful number, since it uses less digits than its factorization.

1130113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1130113000 is about 33617.1533595574. The cubic root of 1130113000 is about 1041.6151554972.

Adding to 1130113000 its reverse (3110311), we get a palindrome (1133223311).

It can be divided in two parts, 1130 and 113000, that multiplied together give a square (127690000 = 11300²).

The spelling of 1130113000 in words is "one billion, one hundred thirty million, one hundred thirteen thousand".