113303012210100 has 216 divisors, whose sum is σ = 355494133481760. Its totient is φ = 30184189251840.

The previous prime is 113303012210041. The next prime is 113303012210203. The reversal of 113303012210100 is 1012210303311.

113303012210100 is a `hidden beast` number, since 1 + 1 + 330 + 301 + 2 + 21 + 0 + 10 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7249529086 + ... + 7249544714.

Almost surely, 2^{113303012210100} is an apocalyptic number.

113303012210100 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 113303012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177747066740880).

113303012210100 is an abundant number, since it is smaller than the sum of its proper divisors (242191121271660).

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

113303012210100 is a wasteful number, since it uses less digits than its factorization.

113303012210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119 (or 23109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113303012210100 its reverse (1012210303311), we get a palindrome (114315222513411).

The spelling of 113303012210100 in words is "one hundred thirteen trillion, three hundred three billion, twelve million, two hundred ten thousand, one hundred".