112201220313 has 48 divisors (see below), whose sum is σ = 206347115520. Its totient is φ = 57142253952.

The previous prime is 112201220303. The next prime is 112201220377. The reversal of 112201220313 is 313022102211.

112201220313 is a `hidden beast` number, since 11 + 220 + 122 + 0 + 313 = 666.

It is not a de Polignac number, because 112201220313 - 2⁶ = 112201220249 is a prime.

It is a super-2 number, since 2×112201220313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112201220303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338281 + ... + 2385782.

It is an arithmetic number, because the mean of its divisors is an integer number (4298898240).

Almost surely, 2^112201220313 is an apocalyptic number.

112201220313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112201220313 is a deficient number, since it is larger than the sum of its proper divisors (94145895207).

112201220313 is a wasteful number, since it uses less digits than its factorization.

112201220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724118 (or 4724115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112201220313 its reverse (313022102211), we get a palindrome (425223322524).

The spelling of 112201220313 in words is "one hundred twelve billion, two hundred one million, two hundred twenty thousand, three hundred thirteen".