332120141021233 has 8 divisors (see below), whose sum is σ = 338485601088360. Its totient is φ = 325815017068800.

The previous prime is 332120141021213. The next prime is 332120141021281.

332120141021233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 151814113336369 + 180306027684864 = 12321287^2 + 13427808^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332120141021233 - 2⁹ = 332120141020721 is a prime.

It is a super-2 number, since 2×332120141021233² (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 (332120141021213) 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 7 ways as a sum of consecutive naturals, for example, 15084017560 + ... + 15084039577.

It is an arithmetic number, because the mean of its divisors is an integer number (42310700136045).

Almost surely, 2^{332120141021233} is an apocalyptic number.

It is an amenable number.

332120141021233 is a deficient number, since it is larger than the sum of its proper divisors (6365460067127).

332120141021233 is a wasteful number, since it uses less digits than its factorization.

332120141021233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30168057347.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 332120141021233 in words is "three hundred thirty-two trillion, one hundred twenty billion, one hundred forty-one million, twenty-one thousand, two hundred thirty-three".