131412311133041 has 2 divisors, whose sum is σ = 131412311133042. Its totient is φ = 131412311133040.

The previous prime is 131412311133013. The next prime is 131412311133053. The reversal of 131412311133041 is 140331113214131.

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., 77916193810225 + 53496117322816 = 8827015^2 + 7314104^2 .

It is a cyclic number.

It is not a de Polignac number, because 131412311133041 - 2¹⁰ = 131412311132017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131412311132995 and 131412311133013.

It is not a weakly prime, because it can be changed into another prime (131412811133041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706155566520 + 65706155566521.

It is an arithmetic number, because the mean of its divisors is an integer number (65706155566521).

Almost surely, 2^{131412311133041} is an apocalyptic number.

It is an amenable number.

131412311133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412311133041 is an equidigital number, since it uses as much as digits as its factorization.

131412311133041 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 131412311133041 its reverse (140331113214131), we get a palindrome (271743424347172).

The spelling of 131412311133041 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred eleven million, one hundred thirty-three thousand, forty-one".