131040413434153 has 2 divisors, whose sum is σ = 131040413434154. Its totient is φ = 131040413434152.

The previous prime is 131040413434103. The next prime is 131040413434171. The reversal of 131040413434153 is 351434314040131.

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., 124355773826064 + 6684639608089 = 11151492^2 + 2585467^2 .

It is a cyclic number.

It is not a de Polignac number, because 131040413434153 - 2⁴⁵ = 95856041345321 is a prime.

It is not a weakly prime, because it can be changed into another prime (131040413434103) 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, 65520206717076 + 65520206717077.

It is an arithmetic number, because the mean of its divisors is an integer number (65520206717077).

Almost surely, 2^{131040413434153} is an apocalyptic number.

It is an amenable number.

131040413434153 is a deficient number, since it is larger than the sum of its proper divisors (1).

131040413434153 is an equidigital number, since it uses as much as digits as its factorization.

131040413434153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 131040413434153 its reverse (351434314040131), we get a palindrome (482474727474284).

The spelling of 131040413434153 in words is "one hundred thirty-one trillion, forty billion, four hundred thirteen million, four hundred thirty-four thousand, one hundred fifty-three".