331121121300133 has 2 divisors, whose sum is σ = 331121121300134. Its totient is φ = 331121121300132.

The previous prime is 331121121300077. The next prime is 331121121300139. The reversal of 331121121300133 is 331003121121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235063539295524 + 96057582004609 = 15331782^2 + 9800897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331121121300133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331121121300098 and 331121121300107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121121300139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560560650066 + 165560560650067.

It is an arithmetic number, because the mean of its divisors is an integer number (165560560650067).

Almost surely, 2^{331121121300133} is an apocalyptic number.

It is an amenable number.

331121121300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121121300133 is an equidigital number, since it uses as much as digits as its factorization.

331121121300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 331121121300133 its reverse (331003121121133), we get a palindrome (662124242421266).

The spelling of 331121121300133 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred thousand, one hundred thirty-three".