1103321231010 has 192 divisors, whose sum is σ = 3065421322080. Its totient is φ = 274794024960.

The previous prime is 1103321230993. The next prime is 1103321231021. The reversal of 1103321231010 is 101321233011.

1103321231010 is a `hidden beast` number, since 1 + 1 + 0 + 332 + 12 + 310 + 10 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 543055507929 + 560265723081 = 736923^2 + 748509^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 16673590 + ... + 16739630.

Almost surely, 2^{1103321231010} is an apocalyptic number.

1103321231010 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 1103321231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532710661040).

1103321231010 is an abundant number, since it is smaller than the sum of its proper divisors (1962100091070).

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

1103321231010 is a wasteful number, since it uses less digits than its factorization.

1103321231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66293 (or 66290 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1103321231010 its reverse (101321233011), we get a palindrome (1204642464021).

It can be divided in two parts, 1103321 and 231010, that added together give a palindrome (1334331).

The spelling of 1103321231010 in words is "one trillion, one hundred three billion, three hundred twenty-one million, two hundred thirty-one thousand, ten".