113100232101120 has 1728 divisors, whose sum is σ = 451036954368000. Its totient is φ = 25916668968960.

The previous prime is 113100232101113. The next prime is 113100232101127. The reversal of 113100232101120 is 21101232001311.

113100232101120 is a `hidden beast` number, since 1 + 1 + 310 + 0 + 2 + 321 + 0 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113100232101113) and next prime (113100232101127).

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

It is a junction number, because it is equal to n+sod(n) for n = 113100232101093 and 113100232101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113100232101127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40120691071 + ... + 40120693889.

It is an arithmetic number, because the mean of its divisors is an integer number (261016756000).

Almost surely, 2^{113100232101120} is an apocalyptic number.

113100232101120 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 113100232101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225518477184000).

113100232101120 is an abundant number, since it is smaller than the sum of its proper divisors (337936722266880).

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

113100232101120 is a wasteful number, since it uses less digits than its factorization.

113100232101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113100232101120 its reverse (21101232001311), we get a palindrome (134201464102431).

The spelling of 113100232101120 in words is "one hundred thirteen trillion, one hundred billion, two hundred thirty-two million, one hundred one thousand, one hundred twenty".