113222220211233 has 160 divisors (see below), whose sum is σ = 199429264404480. Its totient is φ = 62662378896000.

The previous prime is 113222220211193. The next prime is 113222220211241. The reversal of 113222220211233 is 332112022222311.

113222220211233 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 222 + 202 + 1 + 1 + 233 = 666.

It is not a de Polignac number, because 113222220211233 - 2¹³ = 113222220203041 is a prime.

It is a super-2 number, since 2×113222220211233² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113222220211197 and 113222220211206.

It is not an unprimeable number, because it can be changed into a prime (113222220211333) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4079919108 + ... + 4079946858.

It is an arithmetic number, because the mean of its divisors is an integer number (1246432902528).

Almost surely, 2^{113222220211233} is an apocalyptic number.

It is an amenable number.

113222220211233 is a deficient number, since it is larger than the sum of its proper divisors (86207044193247).

113222220211233 is a wasteful number, since it uses less digits than its factorization.

113222220211233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28689 (or 28680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113222220211233 its reverse (332112022222311), we get a palindrome (445334242433544).

The spelling of 113222220211233 in words is "one hundred thirteen trillion, two hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, two hundred thirty-three".