1320311411104 has 192 divisors, whose sum is σ = 3130952106240. Its totient is φ = 536173240320.

The previous prime is 1320311411093. The next prime is 1320311411113. The reversal of 1320311411104 is 4011141130231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210338014 + ... + 210344290.

It is an arithmetic number, because the mean of its divisors is an integer number (16307042220).

Almost surely, 2^{1320311411104} is an apocalyptic number.

1320311411104 is a gapful number since it is divisible by the number (14) 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 1320311411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565476053120).

1320311411104 is an abundant number, since it is smaller than the sum of its proper divisors (1810640695136).

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

1320311411104 is a wasteful number, since it uses less digits than its factorization.

1320311411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1320311411104 its reverse (4011141130231), we get a palindrome (5331452541335).

The spelling of 1320311411104 in words is "one trillion, three hundred twenty billion, three hundred eleven million, four hundred eleven thousand, one hundred four".