113165320320 has 480 divisors, whose sum is σ = 437646209220. Its totient is φ = 27853922304.

The previous prime is 113165320297. The next prime is 113165320351. The reversal of 113165320320 is 23023561311.

113165320320 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 653 + 2 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13122160704 + 100043159616 = 114552^2 + 316296^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8754502 + ... + 8767418.

Almost surely, 2^113165320320 is an apocalyptic number.

113165320320 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 113165320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218823104610).

113165320320 is an abundant number, since it is smaller than the sum of its proper divisors (324480888900).

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

113165320320 is a wasteful number, since it uses less digits than its factorization.

113165320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 113165320320 its reverse (23023561311), we get a palindrome (136188881631).

The spelling of 113165320320 in words is "one hundred thirteen billion, one hundred sixty-five million, three hundred twenty thousand, three hundred twenty".