1013060000 has 120 divisors (see below), whose sum is σ = 2561508180. Its totient is φ = 394272000.

The previous prime is 1013059981. The next prime is 1013060017. The reversal of 1013060000 is 603101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 38416 + 1013021584 = 196^2 + 31828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27379982 + ... + 27380018.

Almost surely, 2^1013060000 is an apocalyptic number.

1013060000 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 1013060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280754090).

1013060000 is an abundant number, since it is smaller than the sum of its proper divisors (1548448180).

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

1013060000 is an frugal number, since it uses more digits than its factorization.

1013060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 44 counting only the distinct ones).

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

The square root of 1013060000 is about 31828.6034880577. The cubic root of 1013060000 is about 1004.3345181401.

Adding to 1013060000 its reverse (603101), we get a palindrome (1013663101).

The spelling of 1013060000 in words is "one billion, thirteen million, sixty thousand".