113110311132 has 288 divisors, whose sum is σ = 362857622400. Its totient is φ = 28908804096.

The previous prime is 113110311113. The next prime is 113110311151. The reversal of 113110311132 is 231113011311.

113110311132 is a `hidden beast` number, since 11 + 311 + 0 + 311 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (113110311113) and next prime (113110311151).

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

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 32604294 + ... + 32607762.

It is an arithmetic number, because the mean of its divisors is an integer number (1259922300).

Almost surely, 2^113110311132 is an apocalyptic number.

113110311132 is a gapful number since it is divisible by the number (12) 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 113110311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181428811200).

113110311132 is an abundant number, since it is smaller than the sum of its proper divisors (249747311268).

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

113110311132 is a wasteful number, since it uses less digits than its factorization.

113110311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113110311132 its reverse (231113011311), we get a palindrome (344223322443).

The spelling of 113110311132 in words is "one hundred thirteen billion, one hundred ten million, three hundred eleven thousand, one hundred thirty-two".