1103323212306 has 128 divisors (see below), whose sum is σ = 2839365849600. Its totient is φ = 314937237888.

The previous prime is 1103323212221. The next prime is 1103323212317. The reversal of 1103323212306 is 6032123233011.

1103323212306 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 32 + 321 + 2 + 306 = 666.

It is a super-2 number, since 2×1103323212306² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1103323212306.

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 63 ways as a sum of consecutive naturals, for example, 33448990 + ... + 33481958.

It is an arithmetic number, because the mean of its divisors is an integer number (22182545700).

Almost surely, 2^{1103323212306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103323212306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419682924800).

1103323212306 is an abundant number, since it is smaller than the sum of its proper divisors (1736042637294).

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

1103323212306 is an equidigital number, since it uses as much as digits as its factorization.

1103323212306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34092 (or 34074 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1103323212306 its reverse (6032123233011), we get a palindrome (7135446445317).

The spelling of 1103323212306 in words is "one trillion, one hundred three billion, three hundred twenty-three million, two hundred twelve thousand, three hundred six".