331201121102133 has 16 divisors (see below), whose sum is σ = 473255656008576. Its totient is φ = 205492587474240.

The previous prime is 331201121102101. The next prime is 331201121102147.

331201121102133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331201121102133 - 2⁵ = 331201121102101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201121102183) 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 15 ways as a sum of consecutive naturals, for example, 64865081878 + ... + 64865086983.

It is an arithmetic number, because the mean of its divisors is an integer number (29578478500536).

Almost surely, 2^{331201121102133} is an apocalyptic number.

It is an amenable number.

331201121102133 is a deficient number, since it is larger than the sum of its proper divisors (142054534906443).

331201121102133 is a wasteful number, since it uses less digits than its factorization.

331201121102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129730168924.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 331201121102133 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred thirty-three".