1306303353264 has 480 divisors, whose sum is σ = 4488846695424. Its totient is φ = 318156410880.

The previous prime is 1306303353239. The next prime is 1306303353269. The reversal of 1306303353264 is 4623533036031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1306303353269) by changing a digit.

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, 84482494 + ... + 84497954.

Almost surely, 2^{1306303353264} is an apocalyptic number.

1306303353264 is a gapful number since it is divisible by the number (14) 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 1306303353264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244423347712).

1306303353264 is an abundant number, since it is smaller than the sum of its proper divisors (3182543342160).

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

1306303353264 is a wasteful number, since it uses less digits than its factorization.

1306303353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15573 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 39.

Adding to 1306303353264 its reverse (4623533036031), we get a palindrome (5929836389295).

The spelling of 1306303353264 in words is "one trillion, three hundred six billion, three hundred three million, three hundred fifty-three thousand, two hundred sixty-four".