1113332322100 has 72 divisors (see below), whose sum is σ = 2466904404888. Its totient is φ = 436026009600.

The previous prime is 1113332322077. The next prime is 1113332322107. The reversal of 1113332322100 is 12232333111.

It can be written as a sum of positive squares in 12 ways, for example, as 6640946064 + 1106691376036 = 81492^2 + 1051994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113332322107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443490 + ... + 1556710.

It is an arithmetic number, because the mean of its divisors is an integer number (34262561179).

Almost surely, 2^{1113332322100} is an apocalyptic number.

1113332322100 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 1113332322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233452202444).

1113332322100 is an abundant number, since it is smaller than the sum of its proper divisors (1353572082788).

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

1113332322100 is a wasteful number, since it uses less digits than its factorization.

1113332322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113445 (or 1113438 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1113332322100 its reverse (12232333111), we get a palindrome (1125564655211).

The spelling of 1113332322100 in words is "one trillion, one hundred thirteen billion, three hundred thirty-two million, three hundred twenty-two thousand, one hundred".