131303132133137 has 2 divisors, whose sum is σ = 131303132133138. Its totient is φ = 131303132133136.

The previous prime is 131303132133097. The next prime is 131303132133143. The reversal of 131303132133137 is 731331231303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131302974480001 + 157653136 = 11458751^2 + 12556^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303132133137 - 2¹² = 131303132129041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131303132133097 and 131303132133106.

It is not a weakly prime, because it can be changed into another prime (131303132133167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651566066568 + 65651566066569.

It is an arithmetic number, because the mean of its divisors is an integer number (65651566066569).

Almost surely, 2^{131303132133137} is an apocalyptic number.

It is an amenable number.

131303132133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303132133137 is an equidigital number, since it uses as much as digits as its factorization.

131303132133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 35.

Adding to 131303132133137 its reverse (731331231303131), we get a palindrome (862634363436268).

The spelling of 131303132133137 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred thirty-seven".