1303431314020 has 288 divisors, whose sum is σ = 3287764085760. Its totient is φ = 432538444800.

The previous prime is 1303431313997. The next prime is 1303431314023. The reversal of 1303431314020 is 204131343031.

It is not an unprimeable number, because it can be changed into a prime (1303431314023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93542974 + ... + 93556906.

It is an arithmetic number, because the mean of its divisors is an integer number (11415847520).

Almost surely, 2^{1303431314020} is an apocalyptic number.

1303431314020 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 1303431314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643882042880).

1303431314020 is an abundant number, since it is smaller than the sum of its proper divisors (1984332771740).

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

1303431314020 is a wasteful number, since it uses less digits than its factorization.

1303431314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1303431314020 its reverse (204131343031), we get a palindrome (1507562657051).

The spelling of 1303431314020 in words is "one trillion, three hundred three billion, four hundred thirty-one million, three hundred fourteen thousand, twenty".