113129199351168 has 2304 divisors, whose sum is σ = 431340481393920. Its totient is φ = 25817547571200.

The previous prime is 113129199351127. The next prime is 113129199351187. The reversal of 113129199351168 is 861153991921311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 173245327930 + ... + 173245328582.

It is an arithmetic number, because the mean of its divisors is an integer number (187213750605).

Almost surely, 2^{113129199351168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113129199351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215670240696960).

113129199351168 is an abundant number, since it is smaller than the sum of its proper divisors (318211282042752).

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

113129199351168 is a wasteful number, since it uses less digits than its factorization.

113129199351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 787 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 60.

The spelling of 113129199351168 in words is "one hundred thirteen trillion, one hundred twenty-nine billion, one hundred ninety-nine million, three hundred fifty-one thousand, one hundred sixty-eight".