1013113000 has 64 divisors (see below), whose sum is σ = 2375493120. Its totient is φ = 404424000.

The previous prime is 1013112983. The next prime is 1013113007. The reversal of 1013113000 is 3113101.

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 (1013113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822385 + ... + 823615.

It is an arithmetic number, because the mean of its divisors is an integer number (37117080).

Almost surely, 2^1013113000 is an apocalyptic number.

1013113000 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 1013113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187746560).

1013113000 is an abundant number, since it is smaller than the sum of its proper divisors (1362380120).

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

1013113000 is a wasteful number, since it uses less digits than its factorization.

1013113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2061 counting only the distinct ones).

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

The square root of 1013113000 is about 31829.4360616081. The cubic root of 1013113000 is about 1004.3520323384.

Adding to 1013113000 its reverse (3113101), we get a palindrome (1016226101).

The spelling of 1013113000 in words is "one billion, thirteen million, one hundred thirteen thousand".