1311312021120 has 192 divisors, whose sum is σ = 4528795471200. Its totient is φ = 349631379456.

The previous prime is 1311312021109. The next prime is 1311312021163. The reversal of 1311312021120 is 211202131131.

1311312021120 is a `hidden beast` number, since 1 + 311 + 3 + 120 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1311312021093 and 1311312021102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53688271 + ... + 53712689.

Almost surely, 2^{1311312021120} is an apocalyptic number.

1311312021120 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 1311312021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264397735600).

1311312021120 is an abundant number, since it is smaller than the sum of its proper divisors (3217483450080).

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

1311312021120 is a wasteful number, since it uses less digits than its factorization.

1311312021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33767 (or 33752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311312021120 its reverse (211202131131), we get a palindrome (1522514152251).

The spelling of 1311312021120 in words is "one trillion, three hundred eleven billion, three hundred twelve million, twenty-one thousand, one hundred twenty".