331232323232133 has 6 divisors (see below), whose sum is σ = 478446689113094. Its totient is φ = 220821548821416.

The previous prime is 331232323232101. The next prime is 331232323232179.

It is a happy number.

331232323232133 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 3 + 2 + 323 + 2 + 321 + 3 + 3 = 666.

331232323232133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 253565081570529 + 77667241661604 = 15923727^2 + 8812902^2 .

It is not a de Polignac number, because 331232323232133 - 2⁵ = 331232323232101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331232323234133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18401795735110 + ... + 18401795735127.

Almost surely, 2^{331232323232133} is an apocalyptic number.

It is an amenable number.

331232323232133 is a deficient number, since it is larger than the sum of its proper divisors (147214365880961).

331232323232133 is a wasteful number, since it uses less digits than its factorization.

331232323232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36803591470243 (or 36803591470240 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 331232323232133 in words is "three hundred thirty-one trillion, two hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-three".