332113343311233 has 36 divisors (see below), whose sum is σ = 541545948052564. Its totient is φ = 195840792100800.

The previous prime is 332113343311153. The next prime is 332113343311249.

It is a happy number.

332113343311233 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 1 + 334 + 3 + 311 + 2 + 3 + 3 = 666.

332113343311233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 251743696143489 + 80369647167744 = 15866433^2 + 8964912^2 .

It is not a de Polignac number, because 332113343311233 - 2¹⁴ = 332113343294849 is a prime.

It is a super-2 number, since 2×332113343311233² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332113343311433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4121188498 + ... + 4121269083.

Almost surely, 2^{332113343311233} is an apocalyptic number.

332113343311233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332113343311233 is a deficient number, since it is larger than the sum of its proper divisors (209432604741331).

332113343311233 is a wasteful number, since it uses less digits than its factorization.

332113343311233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242457646 (or 8242457632 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 332113343311233 in words is "three hundred thirty-two trillion, one hundred thirteen billion, three hundred forty-three million, three hundred eleven thousand, two hundred thirty-three".