112313220311133 has 12 divisors (see below), whose sum is σ = 165291154420860. Its totient is φ = 73462735297536.

The previous prime is 112313220311107. The next prime is 112313220311143. The reversal of 112313220311133 is 331113022313211.

112313220311133 is a `hidden beast` number, since 1 + 1 + 2 + 313 + 2 + 2 + 0 + 311 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31431922790724 + 80881297520409 = 5606418^2 + 8993403^2 .

It is a de Polignac number, because none of the positive numbers 2^k-112313220311133 is a prime.

It is a super-2 number, since 2×112313220311133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313220311097 and 112313220311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313220311143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117728741988 + ... + 117728742941.

It is an arithmetic number, because the mean of its divisors is an integer number (13774262868405).

Almost surely, 2^{112313220311133} is an apocalyptic number.

It is an amenable number.

112313220311133 is a deficient number, since it is larger than the sum of its proper divisors (52977934109727).

112313220311133 is a wasteful number, since it uses less digits than its factorization.

112313220311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235457484988 (or 235457484985 counting only the distinct ones).

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

Adding to 112313220311133 its reverse (331113022313211), we get a palindrome (443426242624344).

The spelling of 112313220311133 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred twenty million, three hundred eleven thousand, one hundred thirty-three".