113302111301100 has 216 divisors, whose sum is σ = 355710502602000. Its totient is φ = 30165329018880.

The previous prime is 113302111301077. The next prime is 113302111301143. The reversal of 113302111301100 is 1103111203311.

113302111301100 is a `hidden beast` number, since 1 + 1 + 330 + 21 + 1 + 1 + 301 + 10 + 0 = 666.

It is a super-3 number, since 3×113302111301100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1431645331 + ... + 1431724469.

Almost surely, 2^{113302111301100} is an apocalyptic number.

113302111301100 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 113302111301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177855251301000).

113302111301100 is an abundant number, since it is smaller than the sum of its proper divisors (242408391300900).

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

113302111301100 is a wasteful number, since it uses less digits than its factorization.

113302111301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81697 (or 81687 counting only the distinct ones).

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

Adding to 113302111301100 its reverse (1103111203311), we get a palindrome (114405222504411).

The spelling of 113302111301100 in words is "one hundred thirteen trillion, three hundred two billion, one hundred eleven million, three hundred one thousand, one hundred".