1300513120 has 96 divisors (see below), whose sum is σ = 3194341920. Its totient is φ = 499752960.

The previous prime is 1300513103. The next prime is 1300513129. The reversal of 1300513120 is 213150031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1300513094 and 1300513103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300513129) 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, 1117659 + ... + 1118821.

It is an arithmetic number, because the mean of its divisors is an integer number (33274395).

Almost surely, 2^1300513120 is an apocalyptic number.

1300513120 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 1300513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597170960).

1300513120 is an abundant number, since it is smaller than the sum of its proper divisors (1893828800).

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

1300513120 is a wasteful number, since it uses less digits than its factorization.

1300513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1300513120 is about 36062.6277467408. The cubic root of 1300513120 is about 1091.5364578948.

Adding to 1300513120 its reverse (213150031), we get a palindrome (1513663151).

The spelling of 1300513120 in words is "one billion, three hundred million, five hundred thirteen thousand, one hundred twenty".