1311300311220 has 144 divisors (see below), whose sum is σ = 4075251682320. Its totient is φ = 341098905600.

The previous prime is 1311300311213. The next prime is 1311300311309. The reversal of 1311300311220 is 221130031131.

1311300311220 is a `hidden beast` number, since 1 + 3 + 1 + 130 + 0 + 311 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314869121424 + 996431189796 = 561132^2 + 998214^2 .

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 = 1311300311193 and 1311300311202.

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, 79171740 + ... + 79188300.

It is an arithmetic number, because the mean of its divisors is an integer number (28300358905).

Almost surely, 2^{1311300311220} is an apocalyptic number.

1311300311220 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 1311300311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037625841160).

1311300311220 is an abundant number, since it is smaller than the sum of its proper divisors (2763951371100).

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

1311300311220 is a wasteful number, since it uses less digits than its factorization.

1311300311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27346 (or 27341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311300311220 its reverse (221130031131), we get a palindrome (1532430342351).

The spelling of 1311300311220 in words is "one trillion, three hundred eleven billion, three hundred million, three hundred eleven thousand, two hundred twenty".