131303112031153 has 2 divisors, whose sum is σ = 131303112031154. Its totient is φ = 131303112031152.

The previous prime is 131303112031151. The next prime is 131303112031297. The reversal of 131303112031153 is 351130211303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124497571991104 + 6805540040049 = 11157848^2 + 2608743^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303112031153 - 2¹ = 131303112031151 is a prime.

Together with 131303112031151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131303112031151) 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, 65651556015576 + 65651556015577.

It is an arithmetic number, because the mean of its divisors is an integer number (65651556015577).

Almost surely, 2^{131303112031153} is an apocalyptic number.

It is an amenable number.

131303112031153 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303112031153 is an equidigital number, since it uses as much as digits as its factorization.

131303112031153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 28.

Adding to 131303112031153 its reverse (351130211303131), we get a palindrome (482433323334284).

The spelling of 131303112031153 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, thirty-one thousand, one hundred fifty-three".