113320527232 has 128 divisors (see below), whose sum is σ = 249030144000. Its totient is φ = 50936739840.

The previous prime is 113320527211. The next prime is 113320527247. The reversal of 113320527232 is 232725023311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×113320527232³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113320527194 and 113320527203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66697519 + ... + 66699217.

It is an arithmetic number, because the mean of its divisors is an integer number (1945548000).

Almost surely, 2^113320527232 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 113320527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124515072000).

113320527232 is an abundant number, since it is smaller than the sum of its proper divisors (135709616768).

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

113320527232 is a wasteful number, since it uses less digits than its factorization.

113320527232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 113320527232 in words is "one hundred thirteen billion, three hundred twenty million, five hundred twenty-seven thousand, two hundred thirty-two".