1303321301113 has 16 divisors (see below), whose sum is σ = 1499774466960. Its totient is φ = 1121909170176.

The previous prime is 1303321301101. The next prime is 1303321301159. The reversal of 1303321301113 is 3111031233031.

It can be written as a sum of positive squares in 8 ways, for example, as 113186490624 + 1190134810489 = 336432^2 + 1090933^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303321301113 - 2⁹ = 1303321300601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303321301413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27028120 + ... + 27076297.

It is an arithmetic number, because the mean of its divisors is an integer number (93735904185).

Almost surely, 2^{1303321301113} is an apocalyptic number.

1303321301113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1303321301113 is a deficient number, since it is larger than the sum of its proper divisors (196453165847).

1303321301113 is a wasteful number, since it uses less digits than its factorization.

1303321301113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54104556.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1303321301113 its reverse (3111031233031), we get a palindrome (4414352534144).

The spelling of 1303321301113 in words is "one trillion, three hundred three billion, three hundred twenty-one million, three hundred one thousand, one hundred thirteen".