1300113000 has 192 divisors, whose sum is σ = 4626273600. Its totient is φ = 328406400.

The previous prime is 1300112963. The next prime is 1300113043. The reversal of 1300113000 is 3110031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167199 + ... + 174801.

It is an arithmetic number, because the mean of its divisors is an integer number (24095175).

Almost surely, 2^1300113000 is an apocalyptic number.

1300113000 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 1300113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313136800).

1300113000 is an abundant number, since it is smaller than the sum of its proper divisors (3326160600).

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

1300113000 is a wasteful number, since it uses less digits than its factorization.

1300113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7632 counting only the distinct ones).

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

The square root of 1300113000 is about 36057.0797486430. The cubic root of 1300113000 is about 1091.4245045541.

Adding to 1300113000 its reverse (3110031), we get a palindrome (1303223031).

The spelling of 1300113000 in words is "one billion, three hundred million, one hundred thirteen thousand".