1303301120 has 176 divisors, whose sum is σ = 3468240288. Its totient is φ = 465960960.

The previous prime is 1303301099. The next prime is 1303301123. The reversal of 1303301120 is 211033031.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 1303301095 and 1303301104.

It is not an unprimeable number, because it can be changed into a prime (1303301123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111202 + ... + 4111518.

Almost surely, 2^1303301120 is an apocalyptic number.

1303301120 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 1303301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734120144).

1303301120 is an abundant number, since it is smaller than the sum of its proper divisors (2164939168).

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

1303301120 is a wasteful number, since it uses less digits than its factorization.

1303301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1303301120 is about 36101.2620278017. The cubic root of 1303301120 is about 1092.3159019317.

Adding to 1303301120 its reverse (211033031), we get a palindrome (1514334151).

It can be divided in two parts, 13033011 and 20, that added together give a palindrome (13033031).

The spelling of 1303301120 in words is "one billion, three hundred three million, three hundred one thousand, one hundred twenty".