1313113232320 has 224 divisors, whose sum is σ = 3234561984000. Its totient is φ = 507494068224.

The previous prime is 1313113232311. The next prime is 1313113232323. The reversal of 1313113232320 is 232323113131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313113232323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757710174 + ... + 757711906.

Almost surely, 2^{1313113232320} is an apocalyptic number.

1313113232320 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 1313113232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617280992000).

1313113232320 is an abundant number, since it is smaller than the sum of its proper divisors (1921448751680).

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

1313113232320 is a wasteful number, since it uses less digits than its factorization.

1313113232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1313113232320 its reverse (232323113131), we get a palindrome (1545436345451).

The spelling of 1313113232320 in words is "one trillion, three hundred thirteen billion, one hundred thirteen million, two hundred thirty-two thousand, three hundred twenty".