1303030012320 has 144 divisors (see below), whose sum is σ = 4566768209640. Its totient is φ = 338083448832.

The previous prime is 1303030012307. The next prime is 1303030012321. The reversal of 1303030012320 is 232100303031.

1303030012320 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 300 + 12 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1038369152016 + 264660860304 = 1019004^2 + 514452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1303030012293 and 1303030012302.

It is not an unprimeable number, because it can be changed into a prime (1303030012321) 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 23 ways as a sum of consecutive naturals, for example, 12174855 + ... + 12281414.

Almost surely, 2^{1303030012320} is an apocalyptic number.

1303030012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303030012320 is an abundant number, since it is smaller than the sum of its proper divisors (3263738197320).

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

1303030012320 is a wasteful number, since it uses less digits than its factorization.

1303030012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456327 (or 24456316 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1303030012320 its reverse (232100303031), we get a palindrome (1535130315351).

The spelling of 1303030012320 in words is "one trillion, three hundred three billion, thirty million, twelve thousand, three hundred twenty".