1320111030 has 256 divisors, whose sum is σ = 4075868160. Its totient is φ = 266649600.

The previous prime is 1320110971. The next prime is 1320111031. The reversal of 1320111030 is 301110231.

It is a junction number, because it is equal to n+sod(n) for n = 1320110997 and 1320111015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320111031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4244575 + ... + 4244885.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^1320111030 is an apocalyptic number.

1320111030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1320111030 is an abundant number, since it is smaller than the sum of its proper divisors (2755757130).

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

1320111030 is a wasteful number, since it uses less digits than its factorization.

1320111030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1320111030 is about 36333.3322171254. The cubic root of 1320111030 is about 1096.9920660925.

Adding to 1320111030 its reverse (301110231), we get a palindrome (1621221261).

The spelling of 1320111030 in words is "one billion, three hundred twenty million, one hundred eleven thousand, thirty".