1311033320120 has 64 divisors (see below), whose sum is σ = 3013884201600. Its totient is φ = 513034629120.

The previous prime is 1311033320119. The next prime is 1311033320147. The reversal of 1311033320120 is 210233301131.

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 = 1311033320092 and 1311033320101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252136 + ... + 4550024.

It is an arithmetic number, because the mean of its divisors is an integer number (47091940650).

Almost surely, 2^{1311033320120} is an apocalyptic number.

1311033320120 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 1311033320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506942100800).

1311033320120 is an abundant number, since it is smaller than the sum of its proper divisors (1702850881480).

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

1311033320120 is a wasteful number, since it uses less digits than its factorization.

1311033320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300288 (or 300284 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1311033320120 its reverse (210233301131), we get a palindrome (1521266621251).

The spelling of 1311033320120 in words is "one trillion, three hundred eleven billion, thirty-three million, three hundred twenty thousand, one hundred twenty".