1300113120 has 96 divisors (see below), whose sum is σ = 4107493152. Its totient is φ = 345669632.

The previous prime is 1300113119. The next prime is 1300113167. The reversal of 1300113120 is 213110031.

1300113120 is digitally balanced in base 4, 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 (96).

It is a super-2 number, since 2×1300113120² = 3380588249592268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300113096 and 1300113105.

It is a congruent number.

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, 165604 + ... + 173276.

It is an arithmetic number, because the mean of its divisors is an integer number (42786387).

Almost surely, 2^1300113120 is an apocalyptic number.

1300113120 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 1300113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053746576).

1300113120 is an abundant number, since it is smaller than the sum of its proper divisors (2807380032).

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

1300113120 is a wasteful number, since it uses less digits than its factorization.

1300113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1300113120 is about 36057.0814126712. The cubic root of 1300113120 is about 1091.4245381335.

Adding to 1300113120 its reverse (213110031), we get a palindrome (1513223151).

The spelling of 1300113120 in words is "one billion, three hundred million, one hundred thirteen thousand, one hundred twenty".