113311032120 has 288 divisors, whose sum is σ = 435021846480. Its totient is φ = 25356165120.

The previous prime is 113311032113. The next prime is 113311032139. The reversal of 113311032120 is 21230113311.

113311032120 is a `hidden beast` number, since 1 + 1 + 331 + 10 + 321 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113311032093 and 113311032102.

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, 584584 + ... + 753896.

Almost surely, 2^113311032120 is an apocalyptic number.

113311032120 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 113311032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217510923240).

113311032120 is an abundant number, since it is smaller than the sum of its proper divisors (321710814360).

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

113311032120 is a wasteful number, since it uses less digits than its factorization.

113311032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169367 (or 169347 counting only the distinct ones).

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

Adding to 113311032120 its reverse (21230113311), we get a palindrome (134541145431).

It can be divided in two parts, 1133 and 11032120, that added together give a triangular number (11033253 = T₄₆₉₇).

The spelling of 113311032120 in words is "one hundred thirteen billion, three hundred eleven million, thirty-two thousand, one hundred twenty".