131012143413113 has 2 divisors, whose sum is σ = 131012143413114. Its totient is φ = 131012143413112.

The previous prime is 131012143413101. The next prime is 131012143413143. The reversal of 131012143413113 is 311314341210131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88392489385984 + 42619654027129 = 9401728^2 + 6528373^2 .

It is a cyclic number.

It is not a de Polignac number, because 131012143413113 - 2¹⁸ = 131012143150969 is a prime.

It is not a weakly prime, because it can be changed into another prime (131012143413143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506071706556 + 65506071706557.

It is an arithmetic number, because the mean of its divisors is an integer number (65506071706557).

Almost surely, 2^{131012143413113} is an apocalyptic number.

It is an amenable number.

131012143413113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012143413113 is an equidigital number, since it uses as much as digits as its factorization.

131012143413113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131012143413113 its reverse (311314341210131), we get a palindrome (442326484623244).

The spelling of 131012143413113 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred thirteen thousand, one hundred thirteen".