131004400129 has 2 divisors, whose sum is σ = 131004400130. Its totient is φ = 131004400128.

The previous prime is 131004400097. The next prime is 131004400157. The reversal of 131004400129 is 921004400131.

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., 97124475904 + 33879924225 = 311648^2 + 184065^2 .

It is a cyclic number.

It is not a de Polignac number, because 131004400129 - 2⁵ = 131004400097 is a prime.

It is not a weakly prime, because it can be changed into another prime (131004400229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65502200064 + 65502200065.

It is an arithmetic number, because the mean of its divisors is an integer number (65502200065).

Almost surely, 2^131004400129 is an apocalyptic number.

It is an amenable number.

131004400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131004400129 is an equidigital number, since it uses as much as digits as its factorization.

131004400129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 131004400129 in words is "one hundred thirty-one billion, four million, four hundred thousand, one hundred twenty-nine".