1013006000 has 80 divisors (see below), whose sum is σ = 2456339808. Its totient is φ = 404064000.

The previous prime is 1013005967. The next prime is 1013006039. The reversal of 1013006000 is 6003101.

1013006000 is nontrivially palindromic in base 15.

1013006000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381634 + ... + 1382366.

Almost surely, 2^1013006000 is an apocalyptic number.

1013006000 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 1013006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228169904).

1013006000 is an abundant number, since it is smaller than the sum of its proper divisors (1443333808).

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

1013006000 is an equidigital number, since it uses as much as digits as its factorization.

1013006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013006000 is about 31827.7551831731. The cubic root of 1013006000 is about 1004.3166728570.

Adding to 1013006000 its reverse (6003101), we get a palindrome (1019009101).

The spelling of 1013006000 in words is "one billion, thirteen million, six thousand".