113312120132322 has 160 divisors (see below), whose sum is σ = 275048998678080. Its totient is φ = 34744747927680.

The previous prime is 113312120132249. The next prime is 113312120132443. The reversal of 113312120132322 is 223231021213311.

113312120132322 is a `hidden beast` number, since 1 + 1 + 3 + 312 + 1 + 2 + 0 + 1 + 323 + 22 = 666.

It is a super-4 number, since 4×113312120132322⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 54904828 + ... + 56931224.

It is an arithmetic number, because the mean of its divisors is an integer number (1719056241738).

Almost surely, 2^{113312120132322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113312120132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137524499339040).

113312120132322 is an abundant number, since it is smaller than the sum of its proper divisors (161736878545758).

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

113312120132322 is a wasteful number, since it uses less digits than its factorization.

113312120132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026958 (or 2026949 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113312120132322 its reverse (223231021213311), we get a palindrome (336543141345633).

The spelling of 113312120132322 in words is "one hundred thirteen trillion, three hundred twelve billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twenty-two".