1303130020320 has 72 divisors (see below), whose sum is σ = 4446931199256. Its totient is φ = 347501338368.

The previous prime is 1303130020301. The next prime is 1303130020421. The reversal of 1303130020320 is 230200313031.

1303130020320 is a `hidden beast` number, since 1 + 30 + 313 + 0 + 0 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1303130020320² (a number of 25 digits) contains 22 as substring.

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 = 1303130020293 and 1303130020302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452474262 + ... + 452477141.

It is an arithmetic number, because the mean of its divisors is an integer number (61762933323).

Almost surely, 2^{1303130020320} is an apocalyptic number.

1303130020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303130020320 is an abundant number, since it is smaller than the sum of its proper divisors (3143801178936).

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

1303130020320 is a wasteful number, since it uses less digits than its factorization.

1303130020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904951424 (or 904951413 counting only the distinct ones).

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

Adding to 1303130020320 its reverse (230200313031), we get a palindrome (1533330333351).

The spelling of 1303130020320 in words is "one trillion, three hundred three billion, one hundred thirty million, twenty thousand, three hundred twenty".