1130013000 has 384 divisors, whose sum is σ = 4100129280. Its totient is φ = 280051200.

The previous prime is 1130012993. The next prime is 1130013019. The reversal of 1130013000 is 3100311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10970949 + ... + 10971051.

It is an arithmetic number, because the mean of its divisors is an integer number (10677420).

Almost surely, 2^1130013000 is an apocalyptic number.

1130013000 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 1130013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050064640).

1130013000 is an abundant number, since it is smaller than the sum of its proper divisors (2970116280).

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

1130013000 is a wasteful number, since it uses less digits than its factorization.

1130013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

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

The square root of 1130013000 is about 33615.6659907252. The cubic root of 1130013000 is about 1041.5844315525.

Adding to 1130013000 its reverse (3100311), we get a palindrome (1133113311).

The spelling of 1130013000 in words is "one billion, one hundred thirty million, thirteen thousand".