1313003321220 has 96 divisors (see below), whose sum is σ = 3741867239040. Its totient is φ = 343910118400.

The previous prime is 1313003321167. The next prime is 1313003321233. The reversal of 1313003321220 is 221233003131.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4067770 + ... + 4378670.

It is an arithmetic number, because the mean of its divisors is an integer number (38977783740).

Almost surely, 2^{1313003321220} is an apocalyptic number.

1313003321220 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 1313003321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870933619520).

1313003321220 is an abundant number, since it is smaller than the sum of its proper divisors (2428863917820).

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

1313003321220 is a wasteful number, since it uses less digits than its factorization.

1313003321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312165 (or 312163 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1313003321220 its reverse (221233003131), we get a palindrome (1534236324351).

The spelling of 1313003321220 in words is "one trillion, three hundred thirteen billion, three million, three hundred twenty-one thousand, two hundred twenty".