131413130030131 has 2 divisors, whose sum is σ = 131413130030132. Its totient is φ = 131413130030130.

The previous prime is 131413130030069. The next prime is 131413130030137. The reversal of 131413130030131 is 131030031314131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131413130030131 - 2²⁹ = 131412593159219 is a prime.

It is a super-2 number, since 2×131413130030131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131413130030096 and 131413130030105.

It is not a weakly prime, because it can be changed into another prime (131413130030137) 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, 65706565015065 + 65706565015066.

It is an arithmetic number, because the mean of its divisors is an integer number (65706565015066).

Almost surely, 2^{131413130030131} is an apocalyptic number.

131413130030131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413130030131 is an equidigital number, since it uses as much as digits as its factorization.

131413130030131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131413130030131 its reverse (131030031314131), we get a palindrome (262443161344262).

The spelling of 131413130030131 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirty million, thirty thousand, one hundred thirty-one".