113311030100112 has 240 divisors, whose sum is σ = 352812171544560. Its totient is φ = 33922633365504.

The previous prime is 113311030100111. The next prime is 113311030100113. The reversal of 113311030100112 is 211001030113311.

113311030100112 is a `hidden beast` number, since 11 + 331 + 10 + 301 + 0 + 0 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (113311030100111) and next prime (113311030100113).

It can be written as a sum of positive squares in 8 ways, for example, as 76995991869696 + 36315038230416 = 8774736^2 + 6026196^2 .

It is a super-3 number, since 3×113311030100112³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113311030100111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6865588 + ... + 16545644.

It is an arithmetic number, because the mean of its divisors is an integer number (1470050714769).

Almost surely, 2^{113311030100112} is an apocalyptic number.

113311030100112 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 113311030100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176406085772280).

113311030100112 is an abundant number, since it is smaller than the sum of its proper divisors (239501141444448).

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

113311030100112 is a wasteful number, since it uses less digits than its factorization.

113311030100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680147 (or 9680112 counting only the distinct ones).

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

Adding to 113311030100112 its reverse (211001030113311), we get a palindrome (324312060213423).

The spelling of 113311030100112 in words is "one hundred thirteen trillion, three hundred eleven billion, thirty million, one hundred thousand, one hundred twelve".