131133100321 has 2 divisors, whose sum is σ = 131133100322. Its totient is φ = 131133100320.

The previous prime is 131133100291. The next prime is 131133100349. The reversal of 131133100321 is 123001331131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69044919696 + 62088180625 = 262764^2 + 249175^2 .

It is a cyclic number.

It is not a de Polignac number, because 131133100321 - 2¹¹ = 131133098273 is a prime.

It is not a weakly prime, because it can be changed into another prime (131133100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566550160 + 65566550161.

It is an arithmetic number, because the mean of its divisors is an integer number (65566550161).

Almost surely, 2^131133100321 is an apocalyptic number.

It is an amenable number.

131133100321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133100321 is an equidigital number, since it uses as much as digits as its factorization.

131133100321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131133100321 its reverse (123001331131), we get a palindrome (254134431452).

The spelling of 131133100321 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, three hundred twenty-one".