113131100 has 72 divisors (see below), whose sum is σ = 252640080. Its totient is φ = 43960320.

The previous prime is 113131099. The next prime is 113131129. The reversal of 113131100 is 1131311.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1037846 + ... + 1037954.

It is an arithmetic number, because the mean of its divisors is an integer number (3508890).

Almost surely, 2^113131100 is an apocalyptic number.

113131100 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 113131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126320040).

113131100 is an abundant number, since it is smaller than the sum of its proper divisors (139508980).

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

113131100 is a wasteful number, since it uses less digits than its factorization.

113131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 113131100 is about 10636.3104505275. The cubic root of 113131100 is about 483.6457063834.

Adding to 113131100 its reverse (1131311), we get a palindrome (114262411).

Multiplying 113131100 by its reverse (1131311), we get a square (127986457872100 = 11313110²).

113131100 divided by its reverse (1131311) gives a square (100 = 10²).

The spelling of 113131100 in words is "one hundred thirteen million, one hundred thirty-one thousand, one hundred".