131213820154129 has 2 divisors, whose sum is σ = 131213820154130. Its totient is φ = 131213820154128.

The previous prime is 131213820154111. The next prime is 131213820154141. The reversal of 131213820154129 is 921451028312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78067562292225 + 53146257861904 = 8835585^2 + 7290148^2 .

It is a cyclic number.

It is not a de Polignac number, because 131213820154129 - 2¹³ = 131213820145937 is a prime.

It is not a weakly prime, because it can be changed into another prime (131213820154229) 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, 65606910077064 + 65606910077065.

It is an arithmetic number, because the mean of its divisors is an integer number (65606910077065).

Almost surely, 2^{131213820154129} is an apocalyptic number.

It is an amenable number.

131213820154129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131213820154129 is an equidigital number, since it uses as much as digits as its factorization.

131213820154129 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 43.

The spelling of 131213820154129 in words is "one hundred thirty-one trillion, two hundred thirteen billion, eight hundred twenty million, one hundred fifty-four thousand, one hundred twenty-nine".