331121100130101 has 20 divisors (see below), whose sum is σ = 495395177847372. Its totient is φ = 220409348902848.

The previous prime is 331121100130081. The next prime is 331121100130157. The reversal of 331121100130101 is 101031001121133.

331121100130101 is a `hidden beast` number, since 3 + 311 + 21 + 100 + 130 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25549688808900 + 305571411321201 = 5054670^2 + 17480601^2 .

It is not a de Polignac number, because 331121100130101 - 2¹⁷ = 331121099999029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121100130501) 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 19 ways as a sum of consecutive naturals, for example, 3130050336 + ... + 3130156121.

Almost surely, 2^{331121100130101} is an apocalyptic number.

It is an amenable number.

331121100130101 is a deficient number, since it is larger than the sum of its proper divisors (164274077717271).

331121100130101 is an equidigital number, since it uses as much as digits as its factorization.

331121100130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260207122 (or 6260207113 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 331121100130101 its reverse (101031001121133), we get a palindrome (432152101251234).

The spelling of 331121100130101 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred million, one hundred thirty thousand, one hundred one".