1303314241020 has 384 divisors, whose sum is σ = 4276735303680. Its totient is φ = 293529600000.

The previous prime is 1303314240983. The next prime is 1303314241043. The reversal of 1303314241020 is 201424133031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57274645 + ... + 57297395.

It is an arithmetic number, because the mean of its divisors is an integer number (11137331520).

Almost surely, 2^{1303314241020} is an apocalyptic number.

1303314241020 is a gapful number since it is divisible by the number (10) 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 1303314241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138367651840).

1303314241020 is an abundant number, since it is smaller than the sum of its proper divisors (2973421062660).

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

1303314241020 is a wasteful number, since it uses less digits than its factorization.

1303314241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22917 (or 22915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1303314241020 its reverse (201424133031), we get a palindrome (1504738374051).

The spelling of 1303314241020 in words is "one trillion, three hundred three billion, three hundred fourteen million, two hundred forty-one thousand, twenty".