1311111201320 has 384 divisors, whose sum is σ = 3321609984000. Its totient is φ = 464674129920.

The previous prime is 1311111201269. The next prime is 1311111201347. The reversal of 1311111201320 is 231021111131.

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 95 ways as a sum of consecutive naturals, for example, 2986585661 + ... + 2986586099.

It is an arithmetic number, because the mean of its divisors is an integer number (8650026000).

Almost surely, 2^{1311111201320} is an apocalyptic number.

1311111201320 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 1311111201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660804992000).

1311111201320 is an abundant number, since it is smaller than the sum of its proper divisors (2010498782680).

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

1311111201320 is a wasteful number, since it uses less digits than its factorization.

1311111201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1311111201320 its reverse (231021111131), we get a palindrome (1542132312451).

The spelling of 1311111201320 in words is "one trillion, three hundred eleven billion, one hundred eleven million, two hundred one thousand, three hundred twenty".