113322331001100 has 144 divisors (see below), whose sum is σ = 359763039754272. Its totient is φ = 27368411965440.

The previous prime is 113322331001083. The next prime is 113322331001119. The reversal of 113322331001100 is 1100133223311.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 273916017 + ... + 274329416.

It is an arithmetic number, because the mean of its divisors is an integer number (2498354442738).

Almost surely, 2^{113322331001100} is an apocalyptic number.

113322331001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113322331001100 is an abundant number, since it is smaller than the sum of its proper divisors (246440708753172).

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

113322331001100 is a wasteful number, since it uses less digits than its factorization.

113322331001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548245516 (or 548245509 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113322331001100 its reverse (1100133223311), we get a palindrome (114422464224411).

The spelling of 113322331001100 in words is "one hundred thirteen trillion, three hundred twenty-two billion, three hundred thirty-one million, one thousand, one hundred".