113333110323120 has 400 divisors, whose sum is σ = 404568752639040. Its totient is φ = 29382971885568.

The previous prime is 113333110323113. The next prime is 113333110323263. The reversal of 113333110323120 is 21323011333311.

113333110323120 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 311 + 0 + 32 + 312 + 0 = 666.

It is a super-2 number, since 2×113333110323120² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 316064254 + ... + 316422626.

Almost surely, 2^{113333110323120} is an apocalyptic number.

113333110323120 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 113333110323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202284376319520).

113333110323120 is an abundant number, since it is smaller than the sum of its proper divisors (291235642315920).

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

113333110323120 is a wasteful number, since it uses less digits than its factorization.

113333110323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359754 (or 359739 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113333110323120 its reverse (21323011333311), we get a palindrome (134656121656431).

The spelling of 113333110323120 in words is "one hundred thirteen trillion, three hundred thirty-three billion, one hundred ten million, three hundred twenty-three thousand, one hundred twenty".