1013000 has 32 divisors (see below), whose sum is σ = 2372760. Its totient is φ = 404800.

The previous prime is 1012997. The next prime is 1013003. The reversal of 1013000 is 3101.

1013000 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 (1012997) and next prime (1013003).

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 972196 = 202^2 + 986^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1013003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 1506.

2^1013000 is an apocalyptic number.

1013000 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 1013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186380).

1013000 is an abundant number, since it is smaller than the sum of its proper divisors (1359760).

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

1013000 is a wasteful number, since it uses less digits than its factorization.

1013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1013000 is about 1006.4790112069. The cubic root of 1013000 is about 100.4314690009.

Adding to 1013000 its reverse (3101), we get a palindrome (1016101).

The spelling of 1013000 in words is "one million, thirteen thousand".