1303303120 has 80 divisors (see below), whose sum is σ = 3478527360. Its totient is φ = 444851712.

The previous prime is 1303303103. The next prime is 1303303129. The reversal of 1303303120 is 213033031.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1303303094 and 1303303103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123159 + ... + 133321.

It is an arithmetic number, because the mean of its divisors is an integer number (43481592).

Almost surely, 2^1303303120 is an apocalyptic number.

1303303120 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 1303303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739263680).

1303303120 is an abundant number, since it is smaller than the sum of its proper divisors (2175224240).

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

1303303120 is a wasteful number, since it uses less digits than its factorization.

1303303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1303303120 is about 36101.2897276538. The cubic root of 1303303120 is about 1092.3164606746.

Adding to 1303303120 its reverse (213033031), we get a palindrome (1516336151).

The spelling of 1303303120 in words is "one billion, three hundred three million, three hundred three thousand, one hundred twenty".