113117579716820 has 192 divisors, whose sum is σ = 288169498907136. Its totient is φ = 36410702315520.

The previous prime is 113117579716811. The next prime is 113117579716831. The reversal of 113117579716820 is 28617975711311.

It is a super-2 number, since 2×113117579716820² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113117579716820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5546872544 + ... + 5546892936.

It is an arithmetic number, because the mean of its divisors is an integer number (1500882806808).

Almost surely, 2^{113117579716820} is an apocalyptic number.

113117579716820 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 113117579716820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144084749453568).

113117579716820 is an abundant number, since it is smaller than the sum of its proper divisors (175051919190316).

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

113117579716820 is a wasteful number, since it uses less digits than its factorization.

113117579716820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26130 (or 26128 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 59.

The spelling of 113117579716820 in words is "one hundred thirteen trillion, one hundred seventeen billion, five hundred seventy-nine million, seven hundred sixteen thousand, eight hundred twenty".