113320313112132 has 108 divisors (see below), whose sum is σ = 333376744903020. Its totient is φ = 32361582540672.

The previous prime is 113320313112121. The next prime is 113320313112169. The reversal of 113320313112132 is 231211313023311.

113320313112132 is a `hidden beast` number, since 1 + 1 + 3 + 320 + 3 + 1 + 311 + 21 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24332673689856 + 88987639422276 = 4932816^2 + 9433326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113320313112096 and 113320313112105.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11874823 + ... + 19174254.

It is an arithmetic number, because the mean of its divisors is an integer number (3086821712065).

Almost surely, 2^{113320313112132} is an apocalyptic number.

113320313112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113320313112132 is an abundant number, since it is smaller than the sum of its proper divisors (220056431790888).

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

113320313112132 is a wasteful number, since it uses less digits than its factorization.

113320313112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31051170 (or 31051158 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113320313112132 its reverse (231211313023311), we get a palindrome (344531626135443).

The spelling of 113320313112132 in words is "one hundred thirteen trillion, three hundred twenty billion, three hundred thirteen million, one hundred twelve thousand, one hundred thirty-two".