112112303313213 has 32 divisors (see below), whose sum is σ = 189828611385600. Its totient is φ = 64061190301248.

The previous prime is 112112303313209. The next prime is 112112303313217. The reversal of 112112303313213 is 312313303211211.

112112303313213 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 2 + 3 + 0 + 331 + 321 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (112112303313209) and next prime (112112303313217).

It is not a de Polignac number, because 112112303313213 - 2² = 112112303313209 is a prime.

It is a super-4 number, since 4×112112303313213⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112303313217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9737358 + ... + 17861711.

It is an arithmetic number, because the mean of its divisors is an integer number (5932144105800).

Almost surely, 2^{112112303313213} is an apocalyptic number.

It is an amenable number.

112112303313213 is a deficient number, since it is larger than the sum of its proper divisors (77716308072387).

112112303313213 is a wasteful number, since it uses less digits than its factorization.

112112303313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27620578 (or 27620572 counting only the distinct ones).

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

Adding to 112112303313213 its reverse (312313303211211), we get a palindrome (424425606524424).

The spelling of 112112303313213 in words is "one hundred twelve trillion, one hundred twelve billion, three hundred three million, three hundred thirteen thousand, two hundred thirteen".