1313303111120 has 240 divisors, whose sum is σ = 4130771030400. Its totient is φ = 377853189120.

The previous prime is 1313303111069. The next prime is 1313303111143. The reversal of 1313303111120 is 211113033131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313303111092 and 1313303111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135431 + ... + 1626329.

It is an arithmetic number, because the mean of its divisors is an integer number (17211545960).

Almost surely, 2^{1313303111120} is an apocalyptic number.

1313303111120 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 1313303111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065385515200).

1313303111120 is an abundant number, since it is smaller than the sum of its proper divisors (2817467919280).

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

1313303111120 is a wasteful number, since it uses less digits than its factorization.

1313303111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490954 (or 1490937 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1313303111120 its reverse (211113033131), we get a palindrome (1524416144251).

The spelling of 1313303111120 in words is "one trillion, three hundred thirteen billion, three hundred three million, one hundred eleven thousand, one hundred twenty".