1303306663428 has 288 divisors, whose sum is σ = 4290832465920. Its totient is φ = 338292521280.

The previous prime is 1303306663397. The next prime is 1303306663447. The reversal of 1303306663428 is 8243666033031.

It is a super-2 number, since 2×1303306663428² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 96799825 + ... + 96813287.

It is an arithmetic number, because the mean of its divisors is an integer number (14898723840).

Almost surely, 2^{1303306663428} is an apocalyptic number.

1303306663428 is a gapful number since it is divisible by the number (18) 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 1303306663428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145416232960).

1303306663428 is an abundant number, since it is smaller than the sum of its proper divisors (2987525802492).

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

1303306663428 is a wasteful number, since it uses less digits than its factorization.

1303306663428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15164 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 1303306663428 in words is "one trillion, three hundred three billion, three hundred six million, six hundred sixty-three thousand, four hundred twenty-eight".