1011313000 has 256 divisors, whose sum is σ = 2749593600. Its totient is φ = 345600000.

The previous prime is 1011312997. The next prime is 1011313003. The reversal of 1011313000 is 3131101.

1011313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011312997) and next prime (1011313003).

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 (1011313003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10012950 + ... + 10013050.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^1011313000 is an apocalyptic number.

1011313000 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 1011313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

1011313000 is an abundant number, since it is smaller than the sum of its proper divisors (1738280600).

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

1011313000 is a wasteful number, since it uses less digits than its factorization.

1011313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

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

The square root of 1011313000 is about 31801.1477780284. The cubic root of 1011313000 is about 1003.7568682659.

Adding to 1011313000 its reverse (3131101), we get a palindrome (1014444101).

The spelling of 1011313000 in words is "one billion, eleven million, three hundred thirteen thousand".