1313110311120 has 240 divisors, whose sum is σ = 4505743756800. Its totient is φ = 342619554816.

The previous prime is 1313110311109. The next prime is 1313110311143. The reversal of 1313110311120 is 211130113131.

1313110311120 is a `hidden beast` number, since 1 + 31 + 311 + 0 + 311 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313110311093 and 1313110311102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7096417 + ... + 7279103.

It is an arithmetic number, because the mean of its divisors is an integer number (18773932320).

Almost surely, 2^{1313110311120} is an apocalyptic number.

1313110311120 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 1313110311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252871878400).

1313110311120 is an abundant number, since it is smaller than the sum of its proper divisors (3192633445680).

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

1313110311120 is a wasteful number, since it uses less digits than its factorization.

1313110311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182922 (or 182913 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1313110311120 its reverse (211130113131), we get a palindrome (1524240424251).

The spelling of 1313110311120 in words is "one trillion, three hundred thirteen billion, one hundred ten million, three hundred eleven thousand, one hundred twenty".