1303143254352 has 160 divisors (see below), whose sum is σ = 3873314592000. Its totient is φ = 418987537920.

The previous prime is 1303143254227. The next prime is 1303143254393. The reversal of 1303143254352 is 2534523413031.

1303143254352 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 4 + 32 + 543 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12740149 + ... + 12842027.

It is an arithmetic number, because the mean of its divisors is an integer number (24208216200).

Almost surely, 2^{1303143254352} is an apocalyptic number.

1303143254352 is a gapful number since it is divisible by the number (12) 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 1303143254352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936657296000).

1303143254352 is an abundant number, since it is smaller than the sum of its proper divisors (2570171337648).

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

1303143254352 is a wasteful number, since it uses less digits than its factorization.

1303143254352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102946 (or 102934 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 1303143254352 its reverse (2534523413031), we get a palindrome (3837666667383).

The spelling of 1303143254352 in words is "one trillion, three hundred three billion, one hundred forty-three million, two hundred fifty-four thousand, three hundred fifty-two".