131303003332133 has 2 divisors, whose sum is σ = 131303003332134. Its totient is φ = 131303003332132.

The previous prime is 131303003332099. The next prime is 131303003332147. The reversal of 131303003332133 is 331233300303131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118443019221409 + 12859984110724 = 10883153^2 + 3586082^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303003332133 - 2²⁶ = 131302936223269 is a prime.

It is a super-2 number, since 2×131303003332133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131303003332096 and 131303003332105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131303003332433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651501666066 + 65651501666067.

It is an arithmetic number, because the mean of its divisors is an integer number (65651501666067).

Almost surely, 2^{131303003332133} is an apocalyptic number.

It is an amenable number.

131303003332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303003332133 is an equidigital number, since it uses as much as digits as its factorization.

131303003332133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 131303003332133 its reverse (331233300303131), we get a palindrome (462536303635264).

The spelling of 131303003332133 in words is "one hundred thirty-one trillion, three hundred three billion, three million, three hundred thirty-two thousand, one hundred thirty-three".