1305113000 has 64 divisors (see below), whose sum is σ = 3083857920. Its totient is φ = 516936000.

The previous prime is 1305112993. The next prime is 1305113003. The reversal of 1305113000 is 3115031.

It is not an unprimeable number, because it can be changed into a prime (1305113003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96665 + ... + 109335.

It is an arithmetic number, because the mean of its divisors is an integer number (48185280).

Almost surely, 2^1305113000 is an apocalyptic number.

1305113000 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 1305113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541928960).

1305113000 is an abundant number, since it is smaller than the sum of its proper divisors (1778744920).

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

1305113000 is a wasteful number, since it uses less digits than its factorization.

1305113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12795 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 1305113000 is about 36126.3477257251. The cubic root of 1305113000 is about 1092.8218553301.

Adding to 1305113000 its reverse (3115031), we get a palindrome (1308228031).

The spelling of 1305113000 in words is "one billion, three hundred five million, one hundred thirteen thousand".