113321333133 has 48 divisors (see below), whose sum is σ = 172651817520. Its totient is φ = 71513874432.

The previous prime is 113321333131. The next prime is 113321333159. The reversal of 113321333133 is 331333123311.

113321333133 is a `hidden beast` number, since 1 + 1 + 3 + 321 + 3 + 331 + 3 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15525658404 + 97795674729 = 124602^2 + 312723^2 .

It is not a de Polignac number, because 113321333133 - 2¹ = 113321333131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113321333097 and 113321333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113321333131) 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, 29227191 + ... + 29231067.

It is an arithmetic number, because the mean of its divisors is an integer number (3596912865).

Almost surely, 2^113321333133 is an apocalyptic number.

It is an amenable number.

113321333133 is a deficient number, since it is larger than the sum of its proper divisors (59330484387).

113321333133 is a wasteful number, since it uses less digits than its factorization.

113321333133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6075 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 113321333133 its reverse (331333123311), we get a palindrome (444654456444).

The spelling of 113321333133 in words is "one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-three".