1313221132320 has 96 divisors (see below), whose sum is σ = 4137035031360. Its totient is φ = 350159416320.

The previous prime is 1313221132303. The next prime is 1313221132337. The reversal of 1313221132320 is 232311223131.

It is an interprime number because it is at equal distance from previous prime (1313221132303) and next prime (1313221132337).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5219986 + ... + 5465774.

It is an arithmetic number, because the mean of its divisors is an integer number (43094114910).

Almost surely, 2^{1313221132320} is an apocalyptic number.

1313221132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313221132320 is an abundant number, since it is smaller than the sum of its proper divisors (2823813899040).

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

1313221132320 is a wasteful number, since it uses less digits than its factorization.

1313221132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256938 (or 256930 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1313221132320 its reverse (232311223131), we get a palindrome (1545532355451).

The spelling of 1313221132320 in words is "one trillion, three hundred thirteen billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".