133131130031321 has 2 divisors, whose sum is σ = 133131130031322. Its totient is φ = 133131130031320.

The previous prime is 133131130031239. The next prime is 133131130031327. The reversal of 133131130031321 is 123130031131331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126607504000000 + 6523626031321 = 11252000^2 + 2554139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133131130031321 is a prime.

It is not a weakly prime, because it can be changed into another prime (133131130031327) 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 as a sum of consecutive naturals, namely, 66565565015660 + 66565565015661.

It is an arithmetic number, because the mean of its divisors is an integer number (66565565015661).

Almost surely, 2^{133131130031321} is an apocalyptic number.

It is an amenable number.

133131130031321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131130031321 is an equidigital number, since it uses as much as digits as its factorization.

133131130031321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 133131130031321 its reverse (123130031131331), we get a palindrome (256261161162652).

The spelling of 133131130031321 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, one hundred thirty million, thirty-one thousand, three hundred twenty-one".